Pith Number

pith:GGQ7NJH6

pith:2010:GGQ7NJH6YR2Q4BQJ43C5KMYTLN

not attested not anchored not stored refs pending

On Fields over Fields

Yang-Hui He

arxiv:1003.2986 v1 · 2010-03-15 · hep-th · 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{GGQ7NJH6YR2Q4BQJ43C5KMYTLN}

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	2026-05-18T02:24:37.108372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31a1f6a4fec4750e0609e6c5d533135b56463caa249e9177ee59890424a8165d

Aliases

arxiv: 1003.2986 · arxiv_version: 1003.2986v1 · doi: 10.48550/arxiv.1003.2986 · pith_short_12: GGQ7NJH6YR2Q · pith_short_16: GGQ7NJH6YR2Q4BQJ · pith_short_8: GGQ7NJH6

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/GGQ7NJH6YR2Q4BQJ43C5KMYTLN \
  | 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: 31a1f6a4fec4750e0609e6c5d533135b56463caa249e9177ee59890424a8165d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bf635967c6d9f60b869fd716b2344502e618ae5c665072258a61436de6fab96",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-03-15T18:37:19Z",
    "title_canon_sha256": "23bba0b101d6c1b38cf4b9b85da4e4ccbd8918f0f63ec1cac909cd671bd28531"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2986",
    "kind": "arxiv",
    "version": 1
  }
}