Pith Number

pith:NBWA3GO2

pith:2012:NBWA3GO2RWTOFKCTPN2HEG4F7S

not attested not anchored not stored refs pending

On quasicoherent sheaves on toric schemes

Fred Rohrer

arxiv:1212.3956 v2 · 2012-12-17 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NBWA3GO2RWTOFKCTPN2HEG4F7S}

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	2026-05-18T02:55:04.330912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

686c0d99da8da6e2a8537b74721b85fcb6b052ba955f7c7127bc8365d5f6b917

Aliases

arxiv: 1212.3956 · arxiv_version: 1212.3956v2 · doi: 10.48550/arxiv.1212.3956 · pith_short_12: NBWA3GO2RWTO · pith_short_16: NBWA3GO2RWTOFKCT · pith_short_8: NBWA3GO2

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/NBWA3GO2RWTOFKCTPN2HEG4F7S \
  | 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: 686c0d99da8da6e2a8537b74721b85fcb6b052ba955f7c7127bc8365d5f6b917

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85699d8c1733c50fee39610b715aa1ef7fe1e41588e05c643d690d51f11eb8ef",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-17T11:03:30Z",
    "title_canon_sha256": "7d38c14d3c250fbfa8850d1c25ae2a31c54d3f1e2f8518f28eb04c5045c940af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3956",
    "kind": "arxiv",
    "version": 2
  }
}