Pith Number

pith:7IZHL2NL

pith:2012:7IZHL2NLILBAFV5QESD2B3TGP6

not attested not anchored not stored refs pending

Stacks associated to abelian tensor categories

Hsian-Hua Tseng, Yu-Han Liu

arxiv:1206.0076 v1 · 2012-06-01 · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7IZHL2NLILBAFV5QESD2B3TGP6}

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	2026-05-18T03:54:27.153303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa3275e9ab42c202d7b02487a0ee667faf61d0521855c71608e6292b2abdadad

Aliases

arxiv: 1206.0076 · arxiv_version: 1206.0076v1 · doi: 10.48550/arxiv.1206.0076 · pith_short_12: 7IZHL2NLILBA · pith_short_16: 7IZHL2NLILBAFV5Q · pith_short_8: 7IZHL2NL

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/7IZHL2NLILBAFV5QESD2B3TGP6 \
  | 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: fa3275e9ab42c202d7b02487a0ee667faf61d0521855c71608e6292b2abdadad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0044822dac632cd1feda65a6160f984e9dd51bb53904a9da61901fc6281e554",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-01T04:12:45Z",
    "title_canon_sha256": "84d5d55d724269ae48101520376024e9410131c03157ab62823851f75ec68884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0076",
    "kind": "arxiv",
    "version": 1
  }
}