Pith Number

pith:JKXK4TBC

pith:2016:JKXK4TBCNKMJ2MYRE4JSNTLWLV

not attested not anchored not stored refs pending

A Factor-Graph Approach to Algebraic Topology, With Applications to Kramers--Wannier Duality

Ali Al-Bashabsheh, Pascal O. Vontobel

arxiv:1607.02361 v3 · 2016-07-05 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JKXK4TBCNKMJ2MYRE4JSNTLWLV}

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	2026-05-18T00:10:52.398756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4aaeae4c226a989d3311271326cd765d57160c10e9b1ae7781781a5db516022f

Aliases

arxiv: 1607.02361 · arxiv_version: 1607.02361v3 · doi: 10.48550/arxiv.1607.02361 · pith_short_12: JKXK4TBCNKMJ · pith_short_16: JKXK4TBCNKMJ2MYR · pith_short_8: JKXK4TBC

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/JKXK4TBCNKMJ2MYRE4JSNTLWLV \
  | 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: 4aaeae4c226a989d3311271326cd765d57160c10e9b1ae7781781a5db516022f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9651397825bc274f0fd200b4084cf7db2d42d9c586b26d203e85670fac646030",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-07-05T03:02:20Z",
    "title_canon_sha256": "6027911acda5390b5b43acf1bb316f32aabbaaf8f8db9eeca2fdf99b06de5b53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02361",
    "kind": "arxiv",
    "version": 3
  }
}