Pith Number

pith:JIGC5R2Z

pith:2013:JIGC5R2ZSXTWL2YENTIPH6ETNX

not attested not anchored not stored refs pending

Cartier Crystals

Gebhard B\"ockle, Manuel Blickle

arxiv:1309.1035 v1 · 2013-09-04 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JIGC5R2ZSXTWL2YENTIPH6ETNX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:14:09.272689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a0c2ec75995e765eb046cd0f3f8936dce7b2af090c9a9ef2fe8b8adeaee17e8

Aliases

arxiv: 1309.1035 · arxiv_version: 1309.1035v1 · doi: 10.48550/arxiv.1309.1035 · pith_short_12: JIGC5R2ZSXTW · pith_short_16: JIGC5R2ZSXTWL2YE · pith_short_8: JIGC5R2Z

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/JIGC5R2ZSXTWL2YENTIPH6ETNX \
  | 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: 4a0c2ec75995e765eb046cd0f3f8936dce7b2af090c9a9ef2fe8b8adeaee17e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1047467f80dc8c4e92e254fd96a7f8af9c45c87349f92dbdf0cd1299470d3651",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-04T14:14:26Z",
    "title_canon_sha256": "5f1825c62aa377fa0aabdbd74e8ac6753473924cb135dad1ac96e168d093ca2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1035",
    "kind": "arxiv",
    "version": 1
  }
}