Pith Number

pith:UXIR4ID6

pith:1998:UXIR4ID6S3VYYSKU2OPAKL6N4I

not attested not anchored not stored refs pending

Moduli of vector bundles on curves in positive characteristic

Eugene Z. Xia, Kirti Joshi

arxiv:math/9809106 v1 · 1998-09-18 · 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{UXIR4ID6S3VYYSKU2OPAKL6N4I}

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	2026-05-18T03:20:59.196965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5d11e207e96eb8c4954d39e052fcde203ce9c54f257aa133b6e7e1d5a4eb4cf

Aliases

arxiv: math/9809106 · arxiv_version: math/9809106v1 · doi: 10.48550/arxiv.math/9809106 · pith_short_12: UXIR4ID6S3VY · pith_short_16: UXIR4ID6S3VYYSKU · pith_short_8: UXIR4ID6

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/UXIR4ID6S3VYYSKU2OPAKL6N4I \
  | 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: a5d11e207e96eb8c4954d39e052fcde203ce9c54f257aa133b6e7e1d5a4eb4cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5a92200c5db7e804db9246108f70cdedeadff75ade3d44ad0d45d7d106e5679",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1998-09-18T22:52:45Z",
    "title_canon_sha256": "be0716e780fc55d5e579c7ac6b2d7f58b40ddacc3d5a57d9f7e9eb9ccf8cc0cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9809106",
    "kind": "arxiv",
    "version": 1
  }
}