Pith Number

pith:P2FHPQ6I

pith:2010:P2FHPQ6IC3P2HF7QI376MKTVLZ

not attested not anchored not stored refs pending

Finite basis for analytic strong n-gaps

Antonio Avil\'es, Stevo Todorcevic

arxiv:1012.4954 v3 · 2010-12-22 · 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{P2FHPQ6IC3P2HF7QI376MKTVLZ}

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	2026-05-18T02:48:55.224602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e8a77c3c816dfa397f046ffe62a755e591c549528bbd6e36e41788706c5c797

Aliases

arxiv: 1012.4954 · arxiv_version: 1012.4954v3 · doi: 10.48550/arxiv.1012.4954 · pith_short_12: P2FHPQ6IC3P2 · pith_short_16: P2FHPQ6IC3P2HF7Q · pith_short_8: P2FHPQ6I

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/P2FHPQ6IC3P2HF7QI376MKTVLZ \
  | 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: 7e8a77c3c816dfa397f046ffe62a755e591c549528bbd6e36e41788706c5c797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3342ab5ec39176eed08ff94e53bf836f24b1e253ee531b62a06fb13f0eeb888",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-12-22T12:29:53Z",
    "title_canon_sha256": "c068a177ad803de7493cc3b06fc3ba97c905be81e5909ba1bb8e823abbaece0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4954",
    "kind": "arxiv",
    "version": 3
  }
}