Pith Number

pith:EXA5I7NR

pith:2014:EXA5I7NRJEKR5J27W6FZTUMHNU

not attested not anchored not stored refs pending

Connected even factors in the square of essentially 2-edge connected graphs

Baoyindureng Wu, Jan Ekstein, Liming Xiong

arxiv:1412.8709 v3 · 2014-12-30 · 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{EXA5I7NRJEKR5J27W6FZTUMHNU}

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	2026-05-18T00:35:05.785825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25c1d47db149151ea75fb78b99d1876d31496c1951f1d1b227589f4ca10e9f39

Aliases

arxiv: 1412.8709 · arxiv_version: 1412.8709v3 · doi: 10.48550/arxiv.1412.8709 · pith_short_12: EXA5I7NRJEKR · pith_short_16: EXA5I7NRJEKR5J27 · pith_short_8: EXA5I7NR

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/EXA5I7NRJEKR5J27W6FZTUMHNU \
  | 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: 25c1d47db149151ea75fb78b99d1876d31496c1951f1d1b227589f4ca10e9f39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2696712915a7ae9ab0de52f1625a134a185b50998b1c90213b7c460726e4c222",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-30T17:58:48Z",
    "title_canon_sha256": "df35594a7cdfb127bd4e78f6341e2537dcd9323feb92d9171735d77975537ad8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8709",
    "kind": "arxiv",
    "version": 3
  }
}