Pith Number

pith:5JYOYAEU

pith:2013:5JYOYAEUTPP4MC5SVN6NDPLPVI

not attested not anchored not stored refs pending

Nowhere-zero 3-flows in graphs admitting solvable arc-transitive groups of automorphisms

Sanming Zhou, Xiangwen Li

arxiv:1310.5317 v3 · 2013-10-20 · 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{5JYOYAEUTPP4MC5SVN6NDPLPVI}

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	2026-05-18T02:51:08.354160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea70ec00949bdfc60bb2ab7cd1bd6faa1cd1aae714b7a2fde905fa9615fc4c37

Aliases

arxiv: 1310.5317 · arxiv_version: 1310.5317v3 · doi: 10.48550/arxiv.1310.5317 · pith_short_12: 5JYOYAEUTPP4 · pith_short_16: 5JYOYAEUTPP4MC5S · pith_short_8: 5JYOYAEU

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/5JYOYAEUTPP4MC5SVN6NDPLPVI \
  | 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: ea70ec00949bdfc60bb2ab7cd1bd6faa1cd1aae714b7a2fde905fa9615fc4c37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "420e65bca0707e19c177cc8e21109fdbf801dd388520bf4622b9f7d2794a3f16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-20T10:23:54Z",
    "title_canon_sha256": "1d50effa6e0cd1751a5b48c72d45b4706585765eb4c6706daf935721313d69ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5317",
    "kind": "arxiv",
    "version": 3
  }
}