Pith Number

pith:KP6UBL2V

pith:2011:KP6UBL2V4BJ4K3MUPTMZ7LYJRI

not attested not anchored not stored refs pending

Deligne pairing and determinant bundle

Georg Schumacher, Indranil Biswas, Lin Weng

arxiv:1106.0255 v2 · 2011-06-01 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KP6UBL2V4BJ4K3MUPTMZ7LYJRI}

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	2026-05-18T04:20:39.310296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53fd40af55e053c56d947cd99faf098a110a4f4fd7badf82b88edd1b5cbf9339

Aliases

arxiv: 1106.0255 · arxiv_version: 1106.0255v2 · doi: 10.48550/arxiv.1106.0255 · pith_short_12: KP6UBL2V4BJ4 · pith_short_16: KP6UBL2V4BJ4K3MU · pith_short_8: KP6UBL2V

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/KP6UBL2V4BJ4K3MUPTMZ7LYJRI \
  | 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: 53fd40af55e053c56d947cd99faf098a110a4f4fd7badf82b88edd1b5cbf9339

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b48623a8b2959701a8bb5eff90416171fe982b89d830808257fbbdd468624b8",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-01T16:41:28Z",
    "title_canon_sha256": "b6b4a0b09bf76520b7536465d6dd17d3a5ae2d989089092b1f8290076a41bfd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0255",
    "kind": "arxiv",
    "version": 2
  }
}