Pith Number

pith:P2NGBG3E

pith:2011:P2NGBG3E5AV3K5ADRBEMDOX73X

not attested not anchored not stored refs pending

4-dimensional symplectic contractions

Jaroslaw A. Wisniewski, Marco Andreatta

arxiv:1101.4884 v2 · 2011-01-25 · 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{P2NGBG3E5AV3K5ADRBEMDOX73X}

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	2026-05-18T03:31:07.128080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e9a609b64e82bb574038848c1baffddc326d16eb97c295b9e9a91cc30bde852

Aliases

arxiv: 1101.4884 · arxiv_version: 1101.4884v2 · doi: 10.48550/arxiv.1101.4884 · pith_short_12: P2NGBG3E5AV3 · pith_short_16: P2NGBG3E5AV3K5AD · pith_short_8: P2NGBG3E

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/P2NGBG3E5AV3K5ADRBEMDOX73X \
  | 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: 7e9a609b64e82bb574038848c1baffddc326d16eb97c295b9e9a91cc30bde852

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32d5c712a533e52d23f7a7663acdeec01a727c94c9ac8f87d64d8207fd2767f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-25T17:51:09Z",
    "title_canon_sha256": "3c654bd21d179b8ad5e36a1fab6326b882066eb59d63d14c98c9d6912054e962"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4884",
    "kind": "arxiv",
    "version": 2
  }
}