Pith Number

pith:OFIGHC4E

pith:2013:OFIGHC4EGLWEULEVZTTLZMDXFE

not attested not anchored not stored refs pending

Semistable modules over Lie algebroids in positive characteristic

Adrian Langer

arxiv:1311.2794 v2 · 2013-11-12 · 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{OFIGHC4EGLWEULEVZTTLZMDXFE}

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	2026-05-18T02:20:47.677204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7150638b8432ec4a2c95cce6bcb07729008738c041050afac12f24744654cd0d

Aliases

arxiv: 1311.2794 · arxiv_version: 1311.2794v2 · doi: 10.48550/arxiv.1311.2794 · pith_short_12: OFIGHC4EGLWE · pith_short_16: OFIGHC4EGLWEULEV · pith_short_8: OFIGHC4E

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/OFIGHC4EGLWEULEVZTTLZMDXFE \
  | 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: 7150638b8432ec4a2c95cce6bcb07729008738c041050afac12f24744654cd0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cae97d3c21f6e4d43878ff53a1bab3f28f1183610f214a265f2bac9bd2e52455",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-12T14:34:35Z",
    "title_canon_sha256": "0dda30e33fa774c147fa620b00626e78ce7f1b47aadff55300c94f197ec55ede"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2794",
    "kind": "arxiv",
    "version": 2
  }
}