Pith Number

pith:FKVYSAR2

pith:2014:FKVYSAR2HCXBOGRSLP3RUFVMZL

not attested not anchored not stored refs pending

The characteristic rank and cup-length in oriented Grassmann manifolds

J\'ulius Korba\v{s}

arxiv:1411.7003 v1 · 2014-11-25 · math.AT · 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{FKVYSAR2HCXBOGRSLP3RUFVMZL}

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	2026-05-18T02:32:46.766929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aab89023a38ae171a325bf71a16accaeeaaffaf016c20930cc6fcba3df666ff

Aliases

arxiv: 1411.7003 · arxiv_version: 1411.7003v1 · doi: 10.48550/arxiv.1411.7003 · pith_short_12: FKVYSAR2HCXB · pith_short_16: FKVYSAR2HCXBOGRS · pith_short_8: FKVYSAR2

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/FKVYSAR2HCXBOGRSLP3RUFVMZL \
  | 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: 2aab89023a38ae171a325bf71a16accaeeaaffaf016c20930cc6fcba3df666ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e923455533a4f2c830f3d2ec965f9aa916e83d5248c968de407e09bde509e60c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-11-25T20:19:14Z",
    "title_canon_sha256": "538c8475b1db7998f6a620a1868129053497fbd8f85873dbcb40ef22de59315f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7003",
    "kind": "arxiv",
    "version": 1
  }
}