Pith Number

pith:JLPP66UQ

pith:2021:JLPP66UQPTHBGSJVXFBKSZ6IH3

not attested not anchored not stored refs pending

Factorization and pseudofactorization of weighted graphs

Anne Condon, Joseph Berleant, Kristin Sheridan, Mark Bathe, Virginia Vassilevska Williams

arxiv:2112.06990 v1 · 2021-12-13 · cs.DS · cs.DM · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JLPP66UQPTHBGSJVXFBKSZ6IH3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups

Dimension and Order Bounds for Isometric Embeddings of Graphs into Abelian Cayley Graphs, and the Abelian Dividend

Receipt and verification

First computed	2026-07-05T03:40:19.867901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4adeff7a907cce134935b942a967c83ec9b2bf2b0c71e59fc85061adaed53e9f

Aliases

arxiv: 2112.06990 · arxiv_version: 2112.06990v1 · doi: 10.48550/arxiv.2112.06990 · pith_short_12: JLPP66UQPTHB · pith_short_16: JLPP66UQPTHBGSJV · pith_short_8: JLPP66UQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JLPP66UQPTHBGSJVXFBKSZ6IH3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 4adeff7a907cce134935b942a967c83ec9b2bf2b0c71e59fc85061adaed53e9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b0b38eee657c818653da88089f69738d64ad7b5e5031fc900d28eb34625e222",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2021-12-13T19:58:15Z",
    "title_canon_sha256": "79dd047679c9731b9b779ee8b072bb778571afa6a40dd3cc77bf83cca3f4ca78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.06990",
    "kind": "arxiv",
    "version": 1
  }
}