Pith Number

pith:IZ7EGJZ2

pith:2011:IZ7EGJZ2LYWVA5ICIU7RZLDICG

not attested not anchored not stored refs pending

On VC-density over indiscernible sequences

Cameron Donnay Hill, Vincent Guingona

arxiv:1108.2554 v4 · 2011-08-12 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZ7EGJZ2LYWVA5ICIU7RZLDICG}

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	2026-05-18T03:17:35.538723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

467e43273a5e2d507502453f1cac68118c9ef496d717c83e349bfa1b3c52e963

Aliases

arxiv: 1108.2554 · arxiv_version: 1108.2554v4 · doi: 10.48550/arxiv.1108.2554 · pith_short_12: IZ7EGJZ2LYWV · pith_short_16: IZ7EGJZ2LYWVA5IC · pith_short_8: IZ7EGJZ2

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/IZ7EGJZ2LYWVA5ICIU7RZLDICG \
  | 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: 467e43273a5e2d507502453f1cac68118c9ef496d717c83e349bfa1b3c52e963

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14d69c51351d28f0b9896e8219c3f0adf382c97ea63673abcc762e29d8239935",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-08-12T02:56:16Z",
    "title_canon_sha256": "033f26eb1078442a6365fcd4eb0b725efec933ed51131e47b107a70dc68db7cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2554",
    "kind": "arxiv",
    "version": 4
  }
}