Pith Number

pith:SOZHQPTL

pith:2000:SOZHQPTLHVOZT4KUKQTTGPJQNR

not attested not anchored not stored refs pending

Tensor products of C(X)-algebras over C(X)

Etienne Blanchard

arxiv:math/0012125 v2 · 2000-12-15 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SOZHQPTLHVOZT4KUKQTTGPJQNR}

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	2026-05-18T01:05:38.021784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93b2783e6b3d5d99f1545427333d306c794850a37b1948f624b3690661bf6bfa

Aliases

arxiv: math/0012125 · arxiv_version: math/0012125v2 · doi: 10.48550/arxiv.math/0012125 · pith_short_12: SOZHQPTLHVOZ · pith_short_16: SOZHQPTLHVOZT4KU · pith_short_8: SOZHQPTL

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/SOZHQPTLHVOZT4KUKQTTGPJQNR \
  | 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: 93b2783e6b3d5d99f1545427333d306c794850a37b1948f624b3690661bf6bfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "413c272562651570efc94fe11ee5dd9b42c0c029837a707e67e5b6efb4bc8683",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2000-12-15T12:54:56Z",
    "title_canon_sha256": "e34b9aaaae2aa47e6400099de5625cc78313288e17aea90ba3e50e12518c599c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0012125",
    "kind": "arxiv",
    "version": 2
  }
}