Pith Number

pith:7MXTX6VA

pith:2000:7MXTX6VAMEZW2YCA5IZOPFXTXG

not attested not anchored not stored refs pending

A few remarks on exact C(X)-algebras

Etienne Blanchard

arxiv:math/0012127 v1 · 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{7MXTX6VAMEZW2YCA5IZOPFXTXG}

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	2026-05-18T01:05:38.010386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb2f3bfaa061336d6040ea32e796f3b9b446637b08f95d97e5c736dc518d8a11

Aliases

arxiv: math/0012127 · arxiv_version: math/0012127v1 · doi: 10.48550/arxiv.math/0012127 · pith_short_12: 7MXTX6VAMEZW · pith_short_16: 7MXTX6VAMEZW2YCA · pith_short_8: 7MXTX6VA

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/7MXTX6VAMEZW2YCA5IZOPFXTXG \
  | 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: fb2f3bfaa061336d6040ea32e796f3b9b446637b08f95d97e5c736dc518d8a11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "539689a651dd32c643a5bac1983653d4996ad12463e7df9140f74e37c9012872",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2000-12-15T16:15:42Z",
    "title_canon_sha256": "45f076263c9eeaa6cb51d03995bc12a38e60994901989132f0a9181f1408de0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0012127",
    "kind": "arxiv",
    "version": 1
  }
}