Pith Number

pith:F4OBLZ73

pith:2012:F4OBLZ73NQMOKN2JXCH26EHHUT

not attested not anchored not stored refs pending

Equivariant Cohomology of Weighted Grassmannians and Weighted Schubert Classes

Hiraku Abe, Tomoo Matsumura

arxiv:1207.2216 v2 · 2012-07-10 · math.AT · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4OBLZ73NQMOKN2JXCH26EHHUT}

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	2026-05-18T03:08:38.476504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f1c15e7fb6c18e53749b88faf10e7a4c289ef5205afbe2c28e872c67401a2ee

Aliases

arxiv: 1207.2216 · arxiv_version: 1207.2216v2 · doi: 10.48550/arxiv.1207.2216 · pith_short_12: F4OBLZ73NQMO · pith_short_16: F4OBLZ73NQMOKN2J · pith_short_8: F4OBLZ73

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/F4OBLZ73NQMOKN2JXCH26EHHUT \
  | 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: 2f1c15e7fb6c18e53749b88faf10e7a4c289ef5205afbe2c28e872c67401a2ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b492d168ac97c0f3db301291526661af618b37ceaed5cee60537f7629d840029",
    "cross_cats_sorted": [
      "math.AG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-07-10T04:51:35Z",
    "title_canon_sha256": "d452d2200aa74ac55074f1b6c7364740de2054e5108aaf6efbe00210eba492b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2216",
    "kind": "arxiv",
    "version": 2
  }
}