Pith Number

pith:BWJWX7IY

pith:2007:BWJWX7IYIFLHJTZX2D2LUQH7X3

not attested not anchored not stored refs pending

No Zero Divisor for Wick Product in $(S)^{\ast}$}

Hayato Saigo, Izumi Ojima, Takahiro Hasebe

arxiv:0712.3915 v2 · 2007-12-23 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BWJWX7IYIFLHJTZX2D2LUQH7X3}

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	2026-05-18T03:26:50.847937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d936bfd18415674cf37d0f4ba40ffbefb80d4eac09cb9686d61f1422460391d

Aliases

arxiv: 0712.3915 · arxiv_version: 0712.3915v2 · doi: 10.48550/arxiv.0712.3915 · pith_short_12: BWJWX7IYIFLH · pith_short_16: BWJWX7IYIFLHJTZX · pith_short_8: BWJWX7IY

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/BWJWX7IYIFLHJTZX2D2LUQH7X3 \
  | 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: 0d936bfd18415674cf37d0f4ba40ffbefb80d4eac09cb9686d61f1422460391d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac61af8ab3aa0f443c05e79d7bd30d21b6527dc639876d0952b53cb5f10a5676",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2007-12-23T14:17:59Z",
    "title_canon_sha256": "2121c877d9d5cb64a11d63c523740f867e07de58b729d23e0b1c5a21eb13b191"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3915",
    "kind": "arxiv",
    "version": 2
  }
}