Pith Number

pith:AW6ANWXD

pith:2015:AW6ANWXDMMII3PUY63RST3C4RX

not attested not anchored not stored refs pending

Definability and almost disjoint families

Asger Tornquist

arxiv:1503.07577 v2 · 2015-03-25 · 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{AW6ANWXDMMII3PUY63RST3C4RX}

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	2026-05-18T02:20:02.502373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05bc06dae363108dbe98f6e329ec5c8df25b6955a19ba9b6326999f07167804f

Aliases

arxiv: 1503.07577 · arxiv_version: 1503.07577v2 · doi: 10.48550/arxiv.1503.07577 · pith_short_12: AW6ANWXDMMII · pith_short_16: AW6ANWXDMMII3PUY · pith_short_8: AW6ANWXD

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/AW6ANWXDMMII3PUY63RST3C4RX \
  | 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: 05bc06dae363108dbe98f6e329ec5c8df25b6955a19ba9b6326999f07167804f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f7abe1870e9065c1c44d41db3648afc7fb6adaed93f49532664afec61306c06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-03-25T23:20:00Z",
    "title_canon_sha256": "0a8b850ddf90b15a9513aafe5df371bd298155c1f0b373964ff3f5efd7680226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07577",
    "kind": "arxiv",
    "version": 2
  }
}