Pith Number

pith:P7PFNH7T

pith:2011:P7PFNH7TDTAG5KZ2FE2LXLW2OC

not attested not anchored not stored refs pending

Tur\'an's problem and Ramsey numbers for trees

Lin-Lin Wang, Yi-Li Wu, Zhi-Hong Sun

arxiv:1110.2725 v4 · 2011-10-12 · 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{P7PFNH7TDTAG5KZ2FE2LXLW2OC}

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	2026-05-18T02:17:12.776861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fde569ff31cc06eab3a2934bbaeda70904c2370644530ed157c2e21d2824de3

Aliases

arxiv: 1110.2725 · arxiv_version: 1110.2725v4 · doi: 10.48550/arxiv.1110.2725 · pith_short_12: P7PFNH7TDTAG · pith_short_16: P7PFNH7TDTAG5KZ2 · pith_short_8: P7PFNH7T

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/P7PFNH7TDTAG5KZ2FE2LXLW2OC \
  | 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: 7fde569ff31cc06eab3a2934bbaeda70904c2370644530ed157c2e21d2824de3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5460bfab9065cdb8e0339d2ed22719b8f40ba931ed5546f21dfda260290dd5d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-12T18:12:56Z",
    "title_canon_sha256": "9a7711a12d5f81bf754ebb9d6871e80049523d8982446b7187af8fb2bce44f2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2725",
    "kind": "arxiv",
    "version": 4
  }
}