Pith Number

pith:GAXWP5TL

pith:2010:GAXWP5TLFYCSLLO2WHAWIXC3PU

not attested not anchored not stored refs pending

Vector bundles on elliptic curves and factors of automorphy

Oleksandr Iena

arxiv:1009.3230 v1 · 2010-09-16 · 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{GAXWP5TLFYCSLLO2WHAWIXC3PU}

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	2026-05-18T04:40:46.711453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

302f67f66b2e0525addab1c1645c5b7d39a4af6bb91261b3b52b9ded783ecf8c

Aliases

arxiv: 1009.3230 · arxiv_version: 1009.3230v1 · doi: 10.48550/arxiv.1009.3230 · pith_short_12: GAXWP5TLFYCS · pith_short_16: GAXWP5TLFYCSLLO2 · pith_short_8: GAXWP5TL

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/GAXWP5TLFYCSLLO2WHAWIXC3PU \
  | 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: 302f67f66b2e0525addab1c1645c5b7d39a4af6bb91261b3b52b9ded783ecf8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11283f0b7688cf788f539dabd6a7e7fc2bd26f60e26f5afa32a661fc1b3ad5c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-16T17:29:00Z",
    "title_canon_sha256": "726671b9107b6c9bfe0b0b06f1fda34f81a1563449810172977e55702dc606f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3230",
    "kind": "arxiv",
    "version": 1
  }
}