Pith Number

pith:TOWVMHDZ

pith:2001:TOWVMHDZHTSIFLWA7DTSGR25XH

not attested not anchored not stored refs pending

Computing Ext for graph algebras

Mark Tomforde

arxiv:math/0103055 v3 · 2001-03-08 · 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{TOWVMHDZHTSIFLWA7DTSGR25XH}

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	2026-07-04T14:35:06.673025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bad561c793ce482aec0f8e723475db9ca4898c9f8c78a1d5c067f96c092d09a

Aliases

arxiv: math/0103055 · arxiv_version: math/0103055v3 · doi: 10.48550/arxiv.math/0103055 · pith_short_12: TOWVMHDZHTSI · pith_short_16: TOWVMHDZHTSIFLWA · pith_short_8: TOWVMHDZ

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/TOWVMHDZHTSIFLWA7DTSGR25XH \
  | 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: 9bad561c793ce482aec0f8e723475db9ca4898c9f8c78a1d5c067f96c092d09a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afe72d9024a7854bcd5efa25f7359d45b8f927bc53e4e55559b559f40a411ba2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2001-03-08T04:54:38Z",
    "title_canon_sha256": "04d2fa1134565a3fba6b716f6341345428231e4c6fb0a15e37655682480c580b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0103055",
    "kind": "arxiv",
    "version": 3
  }
}