Pith Number

pith:K7YEQFBP

pith:1997:K7YEQFBPF3PGOS5XU2GHIOTSRL

not attested not anchored not stored refs pending

Immersion Anomaly of Dirac Operator on Surface in R^3

Shigeki Matsutani

arxiv:physics/9707010 v1 · 1997-07-10 · 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{K7YEQFBPF3PGOS5XU2GHIOTSRL}

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	2026-05-18T02:35:07.162031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57f048142f2ede674bb7a68c743a728aea1b335e3bcfa48288aadb0e20da6114

Aliases

arxiv: physics/9707010 · arxiv_version: physics/9707010v1 · doi: 10.48550/arxiv.physics/9707010 · pith_short_12: K7YEQFBPF3PG · pith_short_16: K7YEQFBPF3PGOS5X · pith_short_8: K7YEQFBP

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/K7YEQFBPF3PGOS5XU2GHIOTSRL \
  | 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: 57f048142f2ede674bb7a68c743a728aea1b335e3bcfa48288aadb0e20da6114

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bc9a3dd649772259b9c85821eff40d99d4a09de54b125b99280d22d40616520",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1997-07-10T11:16:00Z",
    "title_canon_sha256": "3428924e6716bc163a73e6a5677030fb2c148f94d74714c52bc8ba7324dee70e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/9707010",
    "kind": "arxiv",
    "version": 1
  }
}