Pith Number

pith:OKRPB5DP

pith:2013:OKRPB5DPIC246S4DMH7TD5PMBS

not attested not anchored not stored refs pending

The gluing formula of the zeta-determinants of Dirac Laplacians for certain boundary conditions

Rung-Tzung Huang, Yoonweon Lee

arxiv:1311.4281 v1 · 2013-11-18 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OKRPB5DPIC246S4DMH7TD5PMBS}

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	2026-05-18T03:06:53.150201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72a2f0f46f40b5cf4b8361ff31f5ec0cb3fac1bc66a450a27cbd1a4b0bbf67ca

Aliases

arxiv: 1311.4281 · arxiv_version: 1311.4281v1 · doi: 10.48550/arxiv.1311.4281 · pith_short_12: OKRPB5DPIC24 · pith_short_16: OKRPB5DPIC246S4D · pith_short_8: OKRPB5DP

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/OKRPB5DPIC246S4DMH7TD5PMBS \
  | 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: 72a2f0f46f40b5cf4b8361ff31f5ec0cb3fac1bc66a450a27cbd1a4b0bbf67ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b6f0d85e269143c3410940364014c91f7ed8e3384129ece475fa639da0e0d4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-11-18T07:04:17Z",
    "title_canon_sha256": "0871e025855777077026e97ca370d6fcf97126d680cc38d7e88676232edc399e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4281",
    "kind": "arxiv",
    "version": 1
  }
}