Pith Number

pith:L43LLI5L

pith:2003:L43LLI5LFYS74JV3O745C32AMC

not attested not anchored not stored refs pending

Semistable principal G-bundles in positive characteristic

Adrian Langer

arxiv:math/0312260 v4 · 2003-12-12 · 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{L43LLI5LFYS74JV3O745C32AMC}

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	2026-05-18T02:20:37.416383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f36b5a3ab2e25fe26bb77f9d16f4060ae0b74b48fd942f6993c46624cd7e6dc

Aliases

arxiv: math/0312260 · arxiv_version: math/0312260v4 · doi: 10.48550/arxiv.math/0312260 · pith_short_12: L43LLI5LFYS7 · pith_short_16: L43LLI5LFYS74JV3 · pith_short_8: L43LLI5L

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/L43LLI5LFYS74JV3O745C32AMC \
  | 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: 5f36b5a3ab2e25fe26bb77f9d16f4060ae0b74b48fd942f6993c46624cd7e6dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e32c9b4e2b9ffc07c18546d3b6872f575abb05ca1b3658b120916e666506eb04",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-12-12T13:58:11Z",
    "title_canon_sha256": "bc6000acf87fd53993d0c0e3b949a0edeaeb486d3b66dbe095b7c4a868a9a33d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312260",
    "kind": "arxiv",
    "version": 4
  }
}