Pith Number

pith:BOC56VFD

pith:2017:BOC56VFDBIIH4KYG5JWLVTQARQ

not attested not anchored not stored refs pending

On the modularity of endomorphism algebras

Fran\c{c}ois Brunault

arxiv:1705.08225 v2 · 2017-05-23 · math.NT · 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{BOC56VFDBIIH4KYG5JWLVTQARQ}

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	2026-05-18T00:41:17.627175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b85df54a30a107e2b06ea6cbace008c1b0f4202bae540b2f59ae645db4468a2

Aliases

arxiv: 1705.08225 · arxiv_version: 1705.08225v2 · doi: 10.48550/arxiv.1705.08225 · pith_short_12: BOC56VFDBIIH · pith_short_16: BOC56VFDBIIH4KYG · pith_short_8: BOC56VFD

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/BOC56VFDBIIH4KYG5JWLVTQARQ \
  | 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: 0b85df54a30a107e2b06ea6cbace008c1b0f4202bae540b2f59ae645db4468a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5a19f90a4542d5037c5644da72cb5fc97a3268fa957cc1e167f17946b6625bf",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-23T13:08:34Z",
    "title_canon_sha256": "e9186163fd7f4616b9dda4bfc2cd1f48f772cd79dcbf151e5976a68bba5f47bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08225",
    "kind": "arxiv",
    "version": 2
  }
}