Pith Number

pith:SNFXHJ47

pith:2011:SNFXHJ47CVCFFN4FPZNUOQWASM

not attested not anchored not stored refs pending

Real determinant line bundles

Andrei Teleman, Christian Okonek

arxiv:1112.5832 v1 · 2011-12-26 · 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{SNFXHJ47CVCFFN4FPZNUOQWASM}

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	2026-05-18T04:05:37.508837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

934b73a79f154452b7857e5b4742c0932713479324b5dec4ee8996bcb6a4efd4

Aliases

arxiv: 1112.5832 · arxiv_version: 1112.5832v1 · doi: 10.48550/arxiv.1112.5832 · pith_short_12: SNFXHJ47CVCF · pith_short_16: SNFXHJ47CVCFFN4F · pith_short_8: SNFXHJ47

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/SNFXHJ47CVCFFN4FPZNUOQWASM \
  | 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: 934b73a79f154452b7857e5b4742c0932713479324b5dec4ee8996bcb6a4efd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9d3a711137da073b1cff7568d3041906905f0738022dc7374c79cf167a5554d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-26T10:24:27Z",
    "title_canon_sha256": "4416d9f5571a04113928219d086f6f77820ab26e537295649e589784d37a083e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5832",
    "kind": "arxiv",
    "version": 1
  }
}