Pith Number

pith:5CER4WRO

pith:2016:5CER4WROBUS3W3KFINK7POTZ3J

not attested not anchored not stored refs pending

Acyclicity in Edge-Colored Graphs

Anders Yeo, Bin Sheng, Gregory Gutin, Magnus Wahlstrom, Mark Jones

arxiv:1601.01824 v3 · 2016-01-08 · cs.DM · 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{5CER4WROBUS3W3KFINK7POTZ3J}

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	2026-05-18T01:04:50.227981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8891e5a2e0d25bb6d454355f7ba79da413ebde188a6b4b6d93e928b223c8633

Aliases

arxiv: 1601.01824 · arxiv_version: 1601.01824v3 · doi: 10.48550/arxiv.1601.01824 · pith_short_12: 5CER4WROBUS3 · pith_short_16: 5CER4WROBUS3W3KF · pith_short_8: 5CER4WRO

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/5CER4WROBUS3W3KFINK7POTZ3J \
  | 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: e8891e5a2e0d25bb6d454355f7ba79da413ebde188a6b4b6d93e928b223c8633

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09bc538512554618e03506930e082521a3d34f84a18b2cb4e95f2ed9513e91ae",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-01-08T10:50:14Z",
    "title_canon_sha256": "1d260ea3c7dcce8d339d9be4692e56b4e977c411a7fceea213ec3283d3e4dcd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01824",
    "kind": "arxiv",
    "version": 3
  }
}