Pith Number

pith:FABZLTZB

pith:2015:FABZLTZB4QNGJE7UUAHTWNZ55F

not attested not anchored not stored refs pending

Ghosts and Strong Ghosts in the Stable Module Category

Jan Minac, Jon F. Carlson, Sunil K. Chebolu

arxiv:1509.02845 v3 · 2015-09-09 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FABZLTZB4QNGJE7UUAHTWNZ55F}

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	2026-05-18T01:12:32.649829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

280395cf21e41a6493f4a00f3b373de975ce59afda6ee9a48efeb5c088c0d407

Aliases

arxiv: 1509.02845 · arxiv_version: 1509.02845v3 · doi: 10.48550/arxiv.1509.02845 · pith_short_12: FABZLTZB4QNG · pith_short_16: FABZLTZB4QNGJE7U · pith_short_8: FABZLTZB

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/FABZLTZB4QNGJE7UUAHTWNZ55F \
  | 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: 280395cf21e41a6493f4a00f3b373de975ce59afda6ee9a48efeb5c088c0d407

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e82a48036445d2576c1ca7fe1f506316371dea6b0ec4fcdc972c9eb3b26131c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-09-09T16:43:45Z",
    "title_canon_sha256": "3239e18695c0c16227baf844123184fe19b8450b299c4eb32b1e65c1bb81ebce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02845",
    "kind": "arxiv",
    "version": 3
  }
}