Pith Number

pith:GPYJNG7L

pith:2011:GPYJNG7L4XD3PUHK3M6SVOUG35

not attested not anchored not stored refs pending

Monotone graph limits and quasimonotone graphs

Bela Bollobas, Oliver Riordan, Svante Janson

arxiv:1101.4296 v1 · 2011-01-22 · 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{GPYJNG7L4XD3PUHK3M6SVOUG35}

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	2026-05-18T03:48:34.364849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33f0969bebe5c7b7d0eadb3d2aba86df62ddd52e567640f819782031afa3db2b

Aliases

arxiv: 1101.4296 · arxiv_version: 1101.4296v1 · doi: 10.48550/arxiv.1101.4296 · pith_short_12: GPYJNG7L4XD3 · pith_short_16: GPYJNG7L4XD3PUHK · pith_short_8: GPYJNG7L

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/GPYJNG7L4XD3PUHK3M6SVOUG35 \
  | 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: 33f0969bebe5c7b7d0eadb3d2aba86df62ddd52e567640f819782031afa3db2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5549460107c403f8c4714727990c213d5d432a05847f448bf324fb3b463476ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-22T15:32:09Z",
    "title_canon_sha256": "ada1748a5971d8e033e95a09df41a38d1739034ab35bea1515d1b7a62414efc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4296",
    "kind": "arxiv",
    "version": 1
  }
}