Pith Number

pith:2JSMTK2U

pith:2011:2JSMTK2UBGUCQOZZ6SXAAUI2VX

not attested not anchored not stored refs pending

Asymptotics of trees with a prescribed degree sequence and applications

Jean-Fran\c{c}ois Marckert, Nicolas Broutin

arxiv:1110.5203 v3 · 2011-10-24 · math.PR · 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{2JSMTK2UBGUCQOZZ6SXAAUI2VX}

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	2026-05-18T03:54:49.268837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d264c9ab5409a8283b39f4ae00511aadd0a9c2d768f7a41ccdb83ebc04702c12

Aliases

arxiv: 1110.5203 · arxiv_version: 1110.5203v3 · doi: 10.48550/arxiv.1110.5203 · pith_short_12: 2JSMTK2UBGUC · pith_short_16: 2JSMTK2UBGUCQOZZ · pith_short_8: 2JSMTK2U

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/2JSMTK2UBGUCQOZZ6SXAAUI2VX \
  | 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: d264c9ab5409a8283b39f4ae00511aadd0a9c2d768f7a41ccdb83ebc04702c12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81be787a9274ceb5cf3430e8873335e974635f951029d3d3d8211adedbfa47b1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-24T11:44:45Z",
    "title_canon_sha256": "e0ed3f60b86cd452f7fc7764da9e6a093cb6911a76d9480ecaa77c01a6d60be0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5203",
    "kind": "arxiv",
    "version": 3
  }
}