Pith Number

pith:ZJKRS237

pith:2013:ZJKRS237QHKFVD3PN4M4DRGUXR

not attested not anchored not stored refs pending

Intersecting 1-factors and nowhere-zero 5-flows

Eckhard Steffen

arxiv:1306.5645 v1 · 2013-06-24 · 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{ZJKRS237QHKFVD3PN4M4DRGUXR}

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	2026-05-18T01:06:24.873481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca55196b7f81d45a8f6f6f19c1c4d4bc50a46cb4930fa1cec3043bc04e1ea81b

Aliases

arxiv: 1306.5645 · arxiv_version: 1306.5645v1 · doi: 10.48550/arxiv.1306.5645 · pith_short_12: ZJKRS237QHKF · pith_short_16: ZJKRS237QHKFVD3P · pith_short_8: ZJKRS237

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/ZJKRS237QHKFVD3PN4M4DRGUXR \
  | 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: ca55196b7f81d45a8f6f6f19c1c4d4bc50a46cb4930fa1cec3043bc04e1ea81b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efa3d39911fd901e781be28c5925b06d982372cbe94ab7d25186e3e539a5fad9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-24T14:47:36Z",
    "title_canon_sha256": "9ef4b4ac5170faa6274a22805545e75e625e48cc5c427051ffa84a8ce4ad7fc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5645",
    "kind": "arxiv",
    "version": 1
  }
}