Pith Number

pith:SUMZ7UD6

pith:2017:SUMZ7UD655EEQT4RY6ZG6DFQBH

not attested not anchored not stored refs pending

Indecomposable manipulations with simple modules in category O

Kevin Coulembier, Volodymyr Mazorchuk, Xiaoting Zhang

arxiv:1709.00547 v1 · 2017-09-02 · 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{SUMZ7UD655EEQT4RY6ZG6DFQBH}

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	2026-05-18T00:36:07.719675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95199fd07eef48484f91c7b26f0cb009e9b6511c1c9a960d39d8e40184789efc

Aliases

arxiv: 1709.00547 · arxiv_version: 1709.00547v1 · doi: 10.48550/arxiv.1709.00547 · pith_short_12: SUMZ7UD655EE · pith_short_16: SUMZ7UD655EEQT4R · pith_short_8: SUMZ7UD6

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/SUMZ7UD655EEQT4RY6ZG6DFQBH \
  | 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: 95199fd07eef48484f91c7b26f0cb009e9b6511c1c9a960d39d8e40184789efc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a2da3e84bebfc4258f6d53035140b3c57057d943fcaed03ce54df8da9f0c09f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-09-02T09:22:52Z",
    "title_canon_sha256": "57756226925cac7d068064a323079f144a0001b9c9b297d6dfe30777a0d2f08b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00547",
    "kind": "arxiv",
    "version": 1
  }
}