Pith Number

pith:EMDFBFLO

pith:2012:EMDFBFLOJDZGEKVGB2VOITJP2W

not attested not anchored not stored refs pending

Large feedback arc sets, high minimum degree subgraphs, and long cycles in Eulerian digraphs

Asaf Shapira, Benny Sudakov, Hao Huang, Jie Ma, Raphael Yuster

arxiv:1202.2602 v1 · 2012-02-13 · 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{EMDFBFLOJDZGEKVGB2VOITJP2W}

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	2026-05-18T04:02:26.124953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

230650956e48f2622aa60eaae44d2fd5a4a4c6311d6d60d4fc4080f6f460a0bf

Aliases

arxiv: 1202.2602 · arxiv_version: 1202.2602v1 · doi: 10.48550/arxiv.1202.2602 · pith_short_12: EMDFBFLOJDZG · pith_short_16: EMDFBFLOJDZGEKVG · pith_short_8: EMDFBFLO

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/EMDFBFLOJDZGEKVGB2VOITJP2W \
  | 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: 230650956e48f2622aa60eaae44d2fd5a4a4c6311d6d60d4fc4080f6f460a0bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc4cb2a96621fd5c44e264b887dc85045fe20dfbc4793acb178bab26d6064f92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-13T01:47:29Z",
    "title_canon_sha256": "d38b06193ea7a4219b7ca8098e0f7e7512209890041293bb8a48a7701747a3f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2602",
    "kind": "arxiv",
    "version": 1
  }
}