Pith Number

pith:HSFRLJGS

pith:2026:HSFRLJGSTSOW4V3PRNH77WXXTI

not attested not anchored not stored refs pending

Combinatorial theorems relative to sparse sets

David Conlon

arxiv:2608.01525 v1 · 2026-08-02 · 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{HSFRLJGSTSOW4V3PRNH77WXXTI}

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	2026-08-04T02:05:48.369899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c8b15a4d29c9d6e576f8b4fffdaf79a38c1974b7547d26e3099c485c4635636

Aliases

arxiv: 2608.01525 · arxiv_version: 2608.01525v1 · doi: 10.48550/arxiv.2608.01525 · pith_short_12: HSFRLJGSTSOW · pith_short_16: HSFRLJGSTSOW4V3P · pith_short_8: HSFRLJGS

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/HSFRLJGSTSOW4V3PRNH77WXXTI \
  | 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: 3c8b15a4d29c9d6e576f8b4fffdaf79a38c1974b7547d26e3099c485c4635636

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59dc8e0a9faf95a848b8da0befc7eded0840738d7de75d46e2e1feb418d3db15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-02T22:26:44Z",
    "title_canon_sha256": "dab9dee9c8cf45e95fd3c2be23af9df63d12d64ad2d51ebc5d49c9a453a43a63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01525",
    "kind": "arxiv",
    "version": 1
  }
}