Pith Number

pith:D74RI7IZ

pith:2012:D74RI7IZU7M2PRIAGKVZGYVHXF

not attested not anchored not stored refs pending

Positivity of relative canonical bundles and applications

Georg Schumacher

arxiv:1201.2930 v1 · 2012-01-13 · math.CV · 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{D74RI7IZU7M2PRIAGKVZGYVHXF}

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	2026-05-18T01:58:49.455005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ff9147d19a7d9a7c50032ab9362a7b96530691f99af2d24f587eb8ad2f99cab

Aliases

arxiv: 1201.2930 · arxiv_version: 1201.2930v1 · doi: 10.48550/arxiv.1201.2930 · pith_short_12: D74RI7IZU7M2 · pith_short_16: D74RI7IZU7M2PRIA · pith_short_8: D74RI7IZ

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/D74RI7IZU7M2PRIAGKVZGYVHXF \
  | 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: 1ff9147d19a7d9a7c50032ab9362a7b96530691f99af2d24f587eb8ad2f99cab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64696462fd5e7d8856891c8cea9857421a0008126e99bad078fcafcb379687c3",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-01-13T20:27:03Z",
    "title_canon_sha256": "e9881534f1ab0fa2e0c5fbce089ab8b3203851e98e8e683aaeadf8ed95ba9d8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2930",
    "kind": "arxiv",
    "version": 1
  }
}