Pith Number

pith:Y2IGFVI7

pith:2002:Y2IGFVI7TH7VLVIQDTEEJXRTK7

not attested not anchored not stored refs pending

On vector bundles destabilized by Frobenius pull-back

Eugene Z. Xia, Jiu-Kang Yu, Kirti Joshi, S. Ramanan

arxiv:math/0208096 v1 · 2002-08-13 · 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{Y2IGFVI7TH7VLVIQDTEEJXRTK7}

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	2026-05-18T01:05:29.428971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c69062d51f99ff55d5101cc844de3357f64a172a5938ef35dc17b9e3977652d8

Aliases

arxiv: math/0208096 · arxiv_version: math/0208096v1 · doi: 10.48550/arxiv.math/0208096 · pith_short_12: Y2IGFVI7TH7V · pith_short_16: Y2IGFVI7TH7VLVIQ · pith_short_8: Y2IGFVI7

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/Y2IGFVI7TH7VLVIQDTEEJXRTK7 \
  | 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: c69062d51f99ff55d5101cc844de3357f64a172a5938ef35dc17b9e3977652d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2b880967c99e0e8a8a15066c935364633248fa4dbe9e98b6d0d6e4f9bfa0b4e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2002-08-13T03:27:29Z",
    "title_canon_sha256": "f4d2efc0935e5ca165a48719757cd4d3fbc77d3ed818dd321435bd8c0740bd3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0208096",
    "kind": "arxiv",
    "version": 1
  }
}