Pith Number

pith:HTK77UCZ

pith:2011:HTK77UCZYKVBS3W6BQYZUJVUOV

not attested not anchored not stored refs pending

Asymptotic behaviour of the number of the Eulerian circuits

Mikhail Isaev (CMAP)

arxiv:1104.3046 v3 · 2011-04-15 · 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{HTK77UCZYKVBS3W6BQYZUJVUOV}

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	2026-05-18T04:03:43.278306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cd5ffd059c2aa196ede0c319a26b4755ca8698079ee304205d6ff8b86bedbbc

Aliases

arxiv: 1104.3046 · arxiv_version: 1104.3046v3 · doi: 10.48550/arxiv.1104.3046 · pith_short_12: HTK77UCZYKVB · pith_short_16: HTK77UCZYKVBS3W6 · pith_short_8: HTK77UCZ

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/HTK77UCZYKVBS3W6BQYZUJVUOV \
  | 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: 3cd5ffd059c2aa196ede0c319a26b4755ca8698079ee304205d6ff8b86bedbbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be8c1dbad49857078664f757a6f2ad12a76b3b99b00d15e3a22949f1268cac52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-15T13:14:09Z",
    "title_canon_sha256": "ddda61fcc4e18aa4055efab441e73439d5d17d83b26e9b179ae31f2af54d2cd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3046",
    "kind": "arxiv",
    "version": 3
  }
}