Pith Number

pith:7LFCSJYR

pith:2014:7LFCSJYRCFLZNAYOKBINMYFD3J

not attested not anchored not stored refs pending

The bijection between projective indecomposable and simple modules

Tom Leinster

arxiv:1410.3671 v1 · 2014-10-14 · math.RA · 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{7LFCSJYRCFLZNAYOKBINMYFD3J}

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	2026-05-18T02:40:09.206480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faca292711115796830e5050d660a3da6bfe1b647b09e8b743758115b2228b6d

Aliases

arxiv: 1410.3671 · arxiv_version: 1410.3671v1 · doi: 10.48550/arxiv.1410.3671 · pith_short_12: 7LFCSJYRCFLZ · pith_short_16: 7LFCSJYRCFLZNAYO · pith_short_8: 7LFCSJYR

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/7LFCSJYRCFLZNAYOKBINMYFD3J \
  | 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: faca292711115796830e5050d660a3da6bfe1b647b09e8b743758115b2228b6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b953e294257d1adbbb320959b32384ac6e8f3f70454908c08fc3698fbd3ca0ba",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-10-14T12:42:27Z",
    "title_canon_sha256": "914d8b8698bba41e4f66c0caf0a61e79968928fb9d4d111c99e790b68533aae7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3671",
    "kind": "arxiv",
    "version": 1
  }
}