Pith Number

pith:ZCY75DWT

pith:2015:ZCY75DWTOCPYUBU7CMJQT4YXTS

not attested not anchored not stored refs pending

Approximations of injective modules and finitistic dimension

David Smith, Fran\c{c}ois Huard

arxiv:1504.08282 v1 · 2015-04-30 · 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{ZCY75DWTOCPYUBU7CMJQT4YXTS}

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	2026-05-18T02:17:22.767464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8b1fe8ed3709f8a069f131309f3179c9498dd88318e59f6d2fb032db1716234

Aliases

arxiv: 1504.08282 · arxiv_version: 1504.08282v1 · doi: 10.48550/arxiv.1504.08282 · pith_short_12: ZCY75DWTOCPY · pith_short_16: ZCY75DWTOCPYUBU7 · pith_short_8: ZCY75DWT

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/ZCY75DWTOCPYUBU7CMJQT4YXTS \
  | 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: c8b1fe8ed3709f8a069f131309f3179c9498dd88318e59f6d2fb032db1716234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ce6ad36ed7135cb4312fe6b57a4e26fa949b55245fd001d549c35560db5e482",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-04-30T15:54:17Z",
    "title_canon_sha256": "afee0cbafeec608c8e22dbc7605a95ab90dacb0dd9edb6e11d1f92969770230d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08282",
    "kind": "arxiv",
    "version": 1
  }
}