Pith Number

pith:MRLWTSEZ

pith:2007:MRLWTSEZLPKWH4PMII6ROVPQ6G

not attested not anchored not stored refs pending

Nuclei of categories with tensor products

Alexei Davydov

arxiv:0708.2761 v1 · 2007-08-21 · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRLWTSEZLPKWH4PMII6ROVPQ6G}

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	2026-07-04T15:03:44.126911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

645769c8995bd563f1ec423d1755f0f19617eb241907dfdb426c648b373ec6ef

Aliases

arxiv: 0708.2761 · arxiv_version: 0708.2761v1 · doi: 10.48550/arxiv.0708.2761 · pith_short_12: MRLWTSEZLPKW · pith_short_16: MRLWTSEZLPKWH4PM · pith_short_8: MRLWTSEZ

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/MRLWTSEZLPKWH4PMII6ROVPQ6G \
  | 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: 645769c8995bd563f1ec423d1755f0f19617eb241907dfdb426c648b373ec6ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1af046eeb255ad30b0414d6ee25d9021538b13994c41be28c5123435c8ed1058",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CT",
    "submitted_at": "2007-08-21T04:56:23Z",
    "title_canon_sha256": "7b7ebd1799ee579986006e15c5c3d7bb7e999f54dde9d3944eb31fa18f03fbac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.2761",
    "kind": "arxiv",
    "version": 1
  }
}