Pith Number

pith:PJYNYTSG

pith:2014:PJYNYTSG47KATEKKXFTPWCEAGY

not attested not anchored not stored refs pending

Limit law for number of components of fixed sizes of graphs with degree one or two

\'Elie de Panafieu, Nicolas Broutin

arxiv:1411.1535 v2 · 2014-11-06 · 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{PJYNYTSG47KATEKKXFTPWCEAGY}

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	2026-05-18T02:31:31.028498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a70dc4e46e7d409914ab966fb088036369ce088c73318e50508ea238151e51d

Aliases

arxiv: 1411.1535 · arxiv_version: 1411.1535v2 · doi: 10.48550/arxiv.1411.1535 · pith_short_12: PJYNYTSG47KA · pith_short_16: PJYNYTSG47KATEKK · pith_short_8: PJYNYTSG

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/PJYNYTSG47KATEKKXFTPWCEAGY \
  | 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: 7a70dc4e46e7d409914ab966fb088036369ce088c73318e50508ea238151e51d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2998b3d485177caf9460765a2f4c5009e2b11bc430f91a0571fcca4c674fe47e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-06T09:13:43Z",
    "title_canon_sha256": "56f31f718187deb124b01c48fc3d2e643c78f0546b4e8aa1f4d2b9ba3be30694"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1535",
    "kind": "arxiv",
    "version": 2
  }
}