Pith Number

pith:5CMRIKDJ

pith:2003:5CMRIKDJQMOMJAGPYLYS4MMHVQ

not attested not anchored not stored refs pending

Note on cohomology rings of spherical varieties and volume polynomial

Kiumars Kaveh

arxiv:math/0312503 v4 · 2003-12-30 · 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{5CMRIKDJQMOMJAGPYLYS4MMHVQ}

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	2026-05-18T03:58:38.560490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e899142869831cc480cfc2f12e3187ac2b9211d93f748c9e09a24bd058aaf1a7

Aliases

arxiv: math/0312503 · arxiv_version: math/0312503v4 · doi: 10.48550/arxiv.math/0312503 · pith_short_12: 5CMRIKDJQMOM · pith_short_16: 5CMRIKDJQMOMJAGP · pith_short_8: 5CMRIKDJ

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/5CMRIKDJQMOMJAGPYLYS4MMHVQ \
  | 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: e899142869831cc480cfc2f12e3187ac2b9211d93f748c9e09a24bd058aaf1a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53ea7f6af7b2d5b7ddabd67eae5347fc8d4eb67d386c8811c29ab875012af6c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2003-12-30T14:36:28Z",
    "title_canon_sha256": "c7a0cf002fc3735144d602cee7d51dbfe71223cac3bbbc6cfb95a00e95107d45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312503",
    "kind": "arxiv",
    "version": 4
  }
}