Pith Number

pith:EYMXCRPF

pith:2007:EYMXCRPFGGGGAKKLIXFGY4I5MB

not attested not anchored not stored refs pending

Twisted Dirac Operators over Quantum Spheres

Andrzej Sitarz

arxiv:0704.2701 v1 · 2007-04-20 · math.QA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EYMXCRPFGGGGAKKLIXFGY4I5MB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:06:43.194379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26197145e5318c60294b45ca6c711d607613c68bb69b673cbe415d983b0b727f

Aliases

arxiv: 0704.2701 · arxiv_version: 0704.2701v1 · doi: 10.48550/arxiv.0704.2701 · pith_short_12: EYMXCRPFGGGG · pith_short_16: EYMXCRPFGGGGAKKL · pith_short_8: EYMXCRPF

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/EYMXCRPFGGGGAKKLIXFGY4I5MB \
  | 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: 26197145e5318c60294b45ca6c711d607613c68bb69b673cbe415d983b0b727f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6206f974359b957ded5892489f3558239dab8f07a938e7760a757ef3c6675a77",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2007-04-20T12:40:09Z",
    "title_canon_sha256": "21fcd6c1fb0a1356c363baf005e2287fc65fc9132cfdf278e820865421c8d600"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.2701",
    "kind": "arxiv",
    "version": 1
  }
}