Pith Number

pith:2QEFAH5L

pith:2002:2QEFAH5L56TORPPDSC6SGL26JI

not attested not anchored not stored refs pending

Serre duality for non-commutative P^1-bundles

A. Nyman

arxiv:math/0210083 v2 · 2002-10-06 · math.RA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2QEFAH5L56TORPPDSC6SGL26JI}

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	2026-05-18T02:29:44.525088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d408501fabefa6e8bde390bd232f5e4a355eea0523052b698ecc6fa73f691f8c

Aliases

arxiv: math/0210083 · arxiv_version: math/0210083v2 · doi: 10.48550/arxiv.math/0210083 · pith_short_12: 2QEFAH5L56TO · pith_short_16: 2QEFAH5L56TORPPD · pith_short_8: 2QEFAH5L

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/2QEFAH5L56TORPPDSC6SGL26JI \
  | 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: d408501fabefa6e8bde390bd232f5e4a355eea0523052b698ecc6fa73f691f8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b099ea84a690b52589314264c6acb023efa0e0d9a95ee9a3c963b23b99f6870",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2002-10-06T00:23:24Z",
    "title_canon_sha256": "4aa11be1683741ff20cc3eaf0483c21c34251c503423c123fd2ba13c75f83e7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0210083",
    "kind": "arxiv",
    "version": 2
  }
}