Pith Number

pith:ZG5XJ5DW

pith:2013:ZG5XJ5DWX5SGUDOYQDVP2MJZOK

not attested not anchored not stored refs pending

Algebraic combinatorial geometry: the polynomial method in arithmetic combinatorics, incidence combinatorics, and number theory

Terence Tao

arxiv:1310.6482 v5 · 2013-10-24 · math.CO · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZG5XJ5DWX5SGUDOYQDVP2MJZOK}

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	2026-05-18T02:55:18.274832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9bb74f476bf646a0dd880eafd313972a6ae538e094f334a458687cbc6251a35

Aliases

arxiv: 1310.6482 · arxiv_version: 1310.6482v5 · doi: 10.48550/arxiv.1310.6482 · pith_short_12: ZG5XJ5DWX5SG · pith_short_16: ZG5XJ5DWX5SGUDOY · pith_short_8: ZG5XJ5DW

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/ZG5XJ5DWX5SGUDOYQDVP2MJZOK \
  | 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: c9bb74f476bf646a0dd880eafd313972a6ae538e094f334a458687cbc6251a35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cf789ef3fe2e5a137c5de52039bb11dcc8eb955c63deaa8085df7f11ba5c29d",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-24T04:39:44Z",
    "title_canon_sha256": "9420c26e802f1b6aae0b3c13254d9b431eabd82ac15c9eb0923f6467fa7fcc6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6482",
    "kind": "arxiv",
    "version": 5
  }
}