Pith Number

pith:FRRN7MEY

pith:2010:FRRN7MEYULFFB55EPHGNXX2VVY

not attested not anchored not stored refs pending

Schubert calculus and singularity theory

Vassily Gorbounov, Victor Petrov

arxiv:1006.1464 v2 · 2010-06-08 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRRN7MEYULFFB55EPHGNXX2VVY}

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	2026-05-18T02:06:56.280652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c62dfb098a2ca50f7a479ccdbdf55ae0325b7b599f6da4db5aa08b6246914c2

Aliases

arxiv: 1006.1464 · arxiv_version: 1006.1464v2 · doi: 10.48550/arxiv.1006.1464 · pith_short_12: FRRN7MEYULFF · pith_short_16: FRRN7MEYULFFB55E · pith_short_8: FRRN7MEY

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/FRRN7MEYULFFB55EPHGNXX2VVY \
  | 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: 2c62dfb098a2ca50f7a479ccdbdf55ae0325b7b599f6da4db5aa08b6246914c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "139362dff0bd9ba4d5c5b9ccbf97a092b1b643947dd9c4127ddf630e87bdba22",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-06-08T06:41:05Z",
    "title_canon_sha256": "bfd2f8483be8bde3e140d66dc6ad2bcf4af44002265042d35bc91a255cf807cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1464",
    "kind": "arxiv",
    "version": 2
  }
}