Pith Number

pith:LEB5J2GC

pith:2016:LEB5J2GCACDXD7ZZZNGY4X6FRW

not attested not anchored not stored refs pending

Strong failures of higher analogs of Hindman's theorem

Assaf Rinot, David Fern\'andez-Bret\'on

arxiv:1608.01512 v4 · 2016-08-04 · math.LO · 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{LEB5J2GCACDXD7ZZZNGY4X6FRW}

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	2026-05-18T00:33:39.660790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5903d4e8c2008771ff39cb4d8e5fc58d8d421466a1bce89880912fd133b2f52f

Aliases

arxiv: 1608.01512 · arxiv_version: 1608.01512v4 · doi: 10.48550/arxiv.1608.01512 · pith_short_12: LEB5J2GCACDX · pith_short_16: LEB5J2GCACDXD7ZZ · pith_short_8: LEB5J2GC

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/LEB5J2GCACDXD7ZZZNGY4X6FRW \
  | 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: 5903d4e8c2008771ff39cb4d8e5fc58d8d421466a1bce89880912fd133b2f52f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a86550ab53447bb180e2f07ff203784934ad635f360730996f09dacc2205763",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-08-04T12:35:07Z",
    "title_canon_sha256": "251c359e3feeef77849873cf8e9ae5da84490faf57714fd02c746df5fbedb923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01512",
    "kind": "arxiv",
    "version": 4
  }
}