Pith Number

pith:756QMSUI

pith:2011:756QMSUIE4565LSPQZKOL3SRV3

not attested not anchored not stored refs pending

Unified bijections for maps with prescribed degrees and girth

Eric Fusy (LIX), Olivier Bernardi (MIT)

arxiv:1102.3619 v3 · 2011-02-17 · 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{756QMSUIE4565LSPQZKOL3SRV3}

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	2026-05-18T03:53:52.487863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff7d064a88273beeae4f8654e5ee51aeefd98102cb2369b140358d7648f24476

Aliases

arxiv: 1102.3619 · arxiv_version: 1102.3619v3 · doi: 10.48550/arxiv.1102.3619 · pith_short_12: 756QMSUIE456 · pith_short_16: 756QMSUIE4565LSP · pith_short_8: 756QMSUI

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/756QMSUIE4565LSPQZKOL3SRV3 \
  | 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: ff7d064a88273beeae4f8654e5ee51aeefd98102cb2369b140358d7648f24476

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c16032d93f0cc54e1e9456f1b33152f5061800e4338c583b9f1cf437b1c42b41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-17T16:15:12Z",
    "title_canon_sha256": "40bc59988f470991a659af8ff2359bfa552deabc2c60562b37cb1f05e3da05bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3619",
    "kind": "arxiv",
    "version": 3
  }
}