Pith Number

pith:VJNYT3Y5

pith:2001:VJNYT3Y5SOBTCK5UWIR73HWIPC

not attested not anchored not stored refs pending

Relatively stable bundles over elliptic fibrations

C. Bartocci (Genova, D. Hernandez Ruiperez, Italy), J. M. Mu\~noz Porras (Salamanca, Spain), Trieste, U. Bruzzo (SISSA

arxiv:math/0109123 v2 · 2001-09-18 · 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{VJNYT3Y5SOBTCK5UWIR73HWIPC}

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	2026-05-18T01:09:07.822197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa5b89ef1d9383312bb4b223fd9ec8789d43f0b016a28dc2785040edcf16bb2a

Aliases

arxiv: math/0109123 · arxiv_version: math/0109123v2 · doi: 10.48550/arxiv.math/0109123 · pith_short_12: VJNYT3Y5SOBT · pith_short_16: VJNYT3Y5SOBTCK5U · pith_short_8: VJNYT3Y5

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/VJNYT3Y5SOBTCK5UWIR73HWIPC \
  | 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: aa5b89ef1d9383312bb4b223fd9ec8789d43f0b016a28dc2785040edcf16bb2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1740af4a377131e054e04cb561f59c535fe7e4f127daeabd7afc050fe7b222f3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-09-18T15:21:40Z",
    "title_canon_sha256": "5f7a19a42f5455838405ac50131112c66f2b13f45728e9381cca93ff22574855"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0109123",
    "kind": "arxiv",
    "version": 2
  }
}