Pith Number

pith:EG5BGWLJ

pith:2016:EG5BGWLJCGBCRL46QL4CW4D6TV

not attested not anchored not stored refs pending

The structure of projective indecomposable modules for $A_n$, $n\leq 12$

David A. Craven

arxiv:1605.04403 v2 · 2016-05-14 · 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{EG5BGWLJCGBCRL46QL4CW4D6TV}

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	2026-05-18T01:14:38.096437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21ba135969118228af9e82f82b707e9d742dfdcd89573426dbe8eeb2884ea505

Aliases

arxiv: 1605.04403 · arxiv_version: 1605.04403v2 · doi: 10.48550/arxiv.1605.04403 · pith_short_12: EG5BGWLJCGBC · pith_short_16: EG5BGWLJCGBCRL46 · pith_short_8: EG5BGWLJ

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/EG5BGWLJCGBCRL46QL4CW4D6TV \
  | 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: 21ba135969118228af9e82f82b707e9d742dfdcd89573426dbe8eeb2884ea505

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06c7f1fb17b3630b505cf0f14c1e77f3f0fd0f02a2452af4b597b8ef1551f360",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-05-14T10:07:36Z",
    "title_canon_sha256": "f4b367737fa72ee8615a7868916929b5b6c692611fac82d3cd1bd2d26de251f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04403",
    "kind": "arxiv",
    "version": 2
  }
}