Pith Number

pith:ECWSDE3K

pith:1996:ECWSDE3KVZ7ZP3ZE7XH5INBGTC

not attested not anchored not stored refs pending

Discrete spectral triples and their symmetries

Andrzej Sitarz (Johannes-Gutenberg Universitaet Mainz), Mario Paschke

arxiv:q-alg/9612029 v2 · 1996-12-20 · q-alg · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECWSDE3KVZ7ZP3ZE7XH5INBGTC}

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	2026-05-18T01:05:07.381109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20ad21936aae7f97ef24fdcfd4342698885b916cef218021fd55b09a741a8261

Aliases

arxiv: q-alg/9612029 · arxiv_version: q-alg/9612029v2 · doi: 10.48550/arxiv.q-alg/9612029 · pith_short_12: ECWSDE3KVZ7Z · pith_short_16: ECWSDE3KVZ7ZP3ZE · pith_short_8: ECWSDE3K

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/ECWSDE3KVZ7ZP3ZE7XH5INBGTC \
  | 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: 20ad21936aae7f97ef24fdcfd4342698885b916cef218021fd55b09a741a8261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "000dca0580deb608e01fa3dcb6d34d6bb4c57d01ec2c423a2e089f99ad67ea41",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1996-12-20T15:24:21Z",
    "title_canon_sha256": "bdbf413e0d853ca6e8d6168d2e29f91c0b7dceec31518c41074a140b2aac18ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9612029",
    "kind": "arxiv",
    "version": 2
  }
}