Pith Number

pith:J32H2SIY

pith:2012:J32H2SIYVULF3RGXVWIOOVPLES

not attested not anchored not stored refs pending

Higher K-theory of Toric stacks

Amalendu Krishna, Roy Joshua

arxiv:1210.1057 v1 · 2012-10-03 · 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{J32H2SIYVULF3RGXVWIOOVPLES}

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	2026-05-18T03:44:05.651217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ef47d4918ad165dc4d7ad90e755eb2499d28161fecef8c4386e09395220d9b7

Aliases

arxiv: 1210.1057 · arxiv_version: 1210.1057v1 · doi: 10.48550/arxiv.1210.1057 · pith_short_12: J32H2SIYVULF · pith_short_16: J32H2SIYVULF3RGX · pith_short_8: J32H2SIY

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/J32H2SIYVULF3RGXVWIOOVPLES \
  | 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: 4ef47d4918ad165dc4d7ad90e755eb2499d28161fecef8c4386e09395220d9b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81254d348e8c781b1119b685bbf91ee0f62786eab6d8e9c874d3b443e53af855",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-03T10:37:38Z",
    "title_canon_sha256": "fa8ff16fbc0f36c45f59be7752ae0f1fecd9966bb0229e088360af23ae0eaaab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1057",
    "kind": "arxiv",
    "version": 1
  }
}