Pith Number

pith:YW7X6PQF

pith:2015:YW7X6PQF7JLEO3LZ62NGAACJ4P

not attested not anchored not stored refs pending

Classification of weighted networks through mesoscale homological features

Ann Sizemore, Chad Giusti, Danielle Bassett

arxiv:1512.06457 v2 · 2015-12-20 · math.CO · cs.DM · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YW7X6PQF7JLEO3LZ62NGAACJ4P}

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.

Receipt and verification

First computed	2026-05-18T01:22:11.136746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5bf7f3e05fa56476d79f69a600049e3ebae7a648445e78c5dcfb9050004354c

Aliases

arxiv: 1512.06457 · arxiv_version: 1512.06457v2 · doi: 10.48550/arxiv.1512.06457 · pith_short_12: YW7X6PQF7JLE · pith_short_16: YW7X6PQF7JLEO3LZ · pith_short_8: YW7X6PQF

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/YW7X6PQF7JLEO3LZ62NGAACJ4P \
  | 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: c5bf7f3e05fa56476d79f69a600049e3ebae7a648445e78c5dcfb9050004354c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6b33eafc56b913d4dac6b3c185c089a42f0da64c6bac69a8b1f0edb1a44e61e",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-20T23:49:32Z",
    "title_canon_sha256": "9dff6e3c302d7e3b2a07c87639e9d03d231f5b66a91504e740ff86784bfe2474"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06457",
    "kind": "arxiv",
    "version": 2
  }
}