Pith Number

pith:XCNAKFC6

pith:1999:XCNAKFC6HPYEUQ4X4X5D4BWKOX

not attested not anchored not stored refs pending

Restriction of stable rank two vector bundles in arbitrary characteristic

Georg Hein

arxiv:math/9904102 v1 · 1999-04-20 · 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{XCNAKFC6HPYEUQ4X4X5D4BWKOX}

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	2026-05-18T01:05:33.110814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b89a05145e3bf04a4397e5fa3e06ca75cd444210c213e3de119f138b6b5f6566

Aliases

arxiv: math/9904102 · arxiv_version: math/9904102v1 · doi: 10.48550/arxiv.math/9904102 · pith_short_12: XCNAKFC6HPYE · pith_short_16: XCNAKFC6HPYEUQ4X · pith_short_8: XCNAKFC6

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/XCNAKFC6HPYEUQ4X4X5D4BWKOX \
  | 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: b89a05145e3bf04a4397e5fa3e06ca75cd444210c213e3de119f138b6b5f6566

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dc5ec4c867d0d2abe2f486dca2fa63d1c88ebe5d39548f60b9f6980ea1cc302",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1999-04-20T13:21:42Z",
    "title_canon_sha256": "245b18817b31eb2273048adacfafed4009c130ad59a831c3217a22f5773a560e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9904102",
    "kind": "arxiv",
    "version": 1
  }
}