Pith Number

pith:RAQSLKGF

pith:2012:RAQSLKGFWLE4MLMINSKTBOZVZG

not attested not anchored not stored refs pending

The number of Euler tours of a random directed graph

Mary Cryan, P\'aid\'i Creed

arxiv:1202.2156 v1 · 2012-02-10 · cs.DM · cs.DS · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RAQSLKGFWLE4MLMINSKTBOZVZG}

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	2026-05-18T02:21:17.979261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

882125a8c5b2c9c62d886c9530bb35c9beca84ae2b5ae778c21edfd2b9fddc19

Aliases

arxiv: 1202.2156 · arxiv_version: 1202.2156v1 · doi: 10.48550/arxiv.1202.2156 · pith_short_12: RAQSLKGFWLE4 · pith_short_16: RAQSLKGFWLE4MLMI · pith_short_8: RAQSLKGF

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/RAQSLKGFWLE4MLMINSKTBOZVZG \
  | 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: 882125a8c5b2c9c62d886c9530bb35c9beca84ae2b5ae778c21edfd2b9fddc19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "202e457e4d59d81155a5a921559e55391999dd14dc184e6fd84255debe885f2d",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-02-10T00:18:35Z",
    "title_canon_sha256": "9acfe89ac35cba50b76d6455f759540430644d3237a1528f5395107d3cbd68e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2156",
    "kind": "arxiv",
    "version": 1
  }
}