Pith Number

pith:GJS5CKSG

pith:2010:GJS5CKSGAH235TC5Y4HM4NQZ6H

not attested not anchored not stored refs pending

Moduli of vortices and Grassmann manifolds

Indranil Biswas, Nuno M. Rom\~ao

arxiv:1012.4023 v2 · 2010-12-17 · math.AG · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJS5CKSGAH235TC5Y4HM4NQZ6H}

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	2026-05-18T02:04:22.619552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3265d12a4601f5becc5dc70ece3619f1d9ae38fbad2e0b2e43d8b5521e5001c5

Aliases

arxiv: 1012.4023 · arxiv_version: 1012.4023v2 · doi: 10.48550/arxiv.1012.4023 · pith_short_12: GJS5CKSGAH23 · pith_short_16: GJS5CKSGAH235TC5 · pith_short_8: GJS5CKSG

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/GJS5CKSGAH235TC5Y4HM4NQZ6H \
  | 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: 3265d12a4601f5becc5dc70ece3619f1d9ae38fbad2e0b2e43d8b5521e5001c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e580fce2770cb2d6d389e9a46d9cf85fe9b0514f7b8a99a265822d9cbc2d2397",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-17T21:38:47Z",
    "title_canon_sha256": "ec68cdf00f1174e5b2437111f6b2d64dc07458c1d8f8009f10866d00267292c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4023",
    "kind": "arxiv",
    "version": 2
  }
}