Pith Number

pith:BEX6ZEQ4

pith:2012:BEX6ZEQ4VE2AL45J76V3HVAJB4

not attested not anchored not stored refs pending

Asymptotic enumeration of Eulerian circuits for graphs with strong mixing properties

Mikhail Isaev (CMAP)

arxiv:1210.2491 v2 · 2012-10-09 · 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{BEX6ZEQ4VE2AL45J76V3HVAJB4}

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	2026-05-18T01:54:04.279212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

092fec921ca93405f3a9ffabb3d4090f06667370d9cc20f3b7a713c2ac295578

Aliases

arxiv: 1210.2491 · arxiv_version: 1210.2491v2 · doi: 10.48550/arxiv.1210.2491 · pith_short_12: BEX6ZEQ4VE2A · pith_short_16: BEX6ZEQ4VE2AL45J · pith_short_8: BEX6ZEQ4

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/BEX6ZEQ4VE2AL45J76V3HVAJB4 \
  | 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: 092fec921ca93405f3a9ffabb3d4090f06667370d9cc20f3b7a713c2ac295578

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "225eea02eb3d15dbd82948225f33b77c9b390ae52aecee0e7512f795c9079d5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-09T04:30:31Z",
    "title_canon_sha256": "a52caa25c796ce1f792fc1d25408a6244065e489eeac2278e4f2f31198c0f4d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2491",
    "kind": "arxiv",
    "version": 2
  }
}