Pith Number

pith:GWMTN5ZK

pith:2011:GWMTN5ZK2T5K7GSFSMFXFK56GX

not attested not anchored not stored refs pending

On relations among 1-cycles on cubic hypersurfaces

Mingmin Shen

arxiv:1102.2550 v2 · 2011-02-13 · 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{GWMTN5ZK2T5K7GSFSMFXFK56GX}

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.

Cited by

1 paper in Pith

The Lichtenbaum-Quillen dimension of complex varieties

Receipt and verification

First computed	2026-05-18T04:03:19.446432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

359936f72ad4faaf9a45930b72abbe35f84cf19db4717cbb1a1937006a5780fe

Aliases

arxiv: 1102.2550 · arxiv_version: 1102.2550v2 · doi: 10.48550/arxiv.1102.2550 · pith_short_12: GWMTN5ZK2T5K · pith_short_16: GWMTN5ZK2T5K7GSF · pith_short_8: GWMTN5ZK

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/GWMTN5ZK2T5K7GSFSMFXFK56GX \
  | 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: 359936f72ad4faaf9a45930b72abbe35f84cf19db4717cbb1a1937006a5780fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4d9e4b7ea12a1ea3f1ba570dd503caa64f4522e16fd2da9351ec9f0fe3a4472",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-13T01:28:19Z",
    "title_canon_sha256": "ef96502451cbf915889c4f68a12f513acd9028a93ec878edff96d2026a5b3332"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2550",
    "kind": "arxiv",
    "version": 2
  }
}