Pith Number

pith:TIPBKA2V

pith:2011:TIPBKA2VNJ7W22WTWRU7R7L3NJ

not attested not anchored not stored refs pending

Abstract approach to finite Ramsey theory and a self-dual Ramsey theorem

Slawomir Solecki

arxiv:1104.3950 v3 · 2011-04-20 · 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{TIPBKA2VNJ7W22WTWRU7R7L3NJ}

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	2026-05-18T03:13:43.818570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a1e1503556a7f6d6ad3b469f8fd7b6a41dabe7f5fbd620b727a888318cc13da

Aliases

arxiv: 1104.3950 · arxiv_version: 1104.3950v3 · doi: 10.48550/arxiv.1104.3950 · pith_short_12: TIPBKA2VNJ7W · pith_short_16: TIPBKA2VNJ7W22WT · pith_short_8: TIPBKA2V

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/TIPBKA2VNJ7W22WTWRU7R7L3NJ \
  | 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: 9a1e1503556a7f6d6ad3b469f8fd7b6a41dabe7f5fbd620b727a888318cc13da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "164e0c7387838f40ee4b3db379b36d195605a02c8328344b3e83e0b1d468ed90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-20T06:28:08Z",
    "title_canon_sha256": "38ae6c156f990e2d4a422fac93d7153b134d5f43762113cc1c89dae27582809c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3950",
    "kind": "arxiv",
    "version": 3
  }
}