Pith Number

pith:PEZO72QB

pith:2009:PEZO72QBDZ5NEVENFTIWTAS3BN

not attested not anchored not stored refs pending

Projectors on the intermediate algebraic Jacobians

Charles Vial

arxiv:0907.3539 v2 · 2009-07-21 · 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{PEZO72QBDZ5NEVENFTIWTAS3BN}

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	2026-05-18T02:19:36.678282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7932efea011e7ad2548d2cd169825b0b4cf575f0350d3dd5596b2f9bf20342f8

Aliases

arxiv: 0907.3539 · arxiv_version: 0907.3539v2 · doi: 10.48550/arxiv.0907.3539 · pith_short_12: PEZO72QBDZ5N · pith_short_16: PEZO72QBDZ5NEVEN · pith_short_8: PEZO72QB

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/PEZO72QBDZ5NEVENFTIWTAS3BN \
  | 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: 7932efea011e7ad2548d2cd169825b0b4cf575f0350d3dd5596b2f9bf20342f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b108d9a66d7ab8fa53de23a1f08b6d3aa5e3a16d9d900a5237e6b84e6099e45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-07-21T04:58:27Z",
    "title_canon_sha256": "d1ff2d7f4e705ca2eada37a10f69e8f8e2150ce98e78fccbf67cb073a2b9f6b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3539",
    "kind": "arxiv",
    "version": 2
  }
}