Pith Number

pith:GNFADXJY

pith:2011:GNFADXJY4RSEFAYQCAZVMHELW4

not attested not anchored not stored refs pending

Generalizing the GAGA Principle

Jack Hall

arxiv:1101.5123 v2 · 2011-01-26 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNFADXJY4RSEFAYQCAZVMHELW4}

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	2026-05-18T00:44:30.573643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

334a01dd38e4644283101033561c8bb70d4ca319bbc0577f1642e6d5fa206bff

Aliases

arxiv: 1101.5123 · arxiv_version: 1101.5123v2 · doi: 10.48550/arxiv.1101.5123 · pith_short_12: GNFADXJY4RSE · pith_short_16: GNFADXJY4RSEFAYQ · pith_short_8: GNFADXJY

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/GNFADXJY4RSEFAYQCAZVMHELW4 \
  | 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: 334a01dd38e4644283101033561c8bb70d4ca319bbc0577f1642e6d5fa206bff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c65e9c07216fd4633c4b9d517480c2948cb73644f15ebc9a58b387144b80463e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-26T18:03:46Z",
    "title_canon_sha256": "ec1d21d4d5bc82f0c7b35bef16f9147a00b915344837ee58deb0f40ee418ae9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5123",
    "kind": "arxiv",
    "version": 2
  }
}