Pith Number

pith:3AVWDVIB

pith:2014:3AVWDVIB2GNPWGDRIBQRCCCY3P

not attested not anchored not stored refs pending

Distinguishing subgroups of the rationals by their Ramsey properties

Ben Barber, Dona Strauss, Imre Leader, Neil Hindman

arxiv:1405.0460 v1 · 2014-05-02 · 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{3AVWDVIB2GNPWGDRIBQRCCCY3P}

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	2026-05-18T00:06:44.263338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d82b61d501d19afb18714061110858dbd0f53f2ce373af9ead75d9e67668f634

Aliases

arxiv: 1405.0460 · arxiv_version: 1405.0460v1 · doi: 10.48550/arxiv.1405.0460 · pith_short_12: 3AVWDVIB2GNP · pith_short_16: 3AVWDVIB2GNPWGDR · pith_short_8: 3AVWDVIB

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/3AVWDVIB2GNPWGDRIBQRCCCY3P \
  | 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: d82b61d501d19afb18714061110858dbd0f53f2ce373af9ead75d9e67668f634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01ea5251b54d036d056129ba31efb1ffb186abd69a4c97d1c9395a978b6f3dc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-02T18:00:32Z",
    "title_canon_sha256": "8c892c1130301acf36b151a759761b997f2de1ff6c2c13765156cb4537dacff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0460",
    "kind": "arxiv",
    "version": 1
  }
}