Pith Number

pith:UXKDOTMZ

pith:2010:UXKDOTMZLHXTP2TJ3JCL322TPY

not attested not anchored not stored refs pending

Spectral action for scalar perturbations of Dirac operators

Andrzej Sitarz, Artur Zajac

arxiv:1012.3860 v1 · 2010-12-17 · math-ph · hep-th · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UXKDOTMZLHXTP2TJ3JCL322TPY}

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	2026-05-18T02:04:23.178308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5d4374d9959ef37ea69da44bdeb537e2da1f561c97d23a5fa5d754fd3a08d50

Aliases

arxiv: 1012.3860 · arxiv_version: 1012.3860v1 · doi: 10.48550/arxiv.1012.3860 · pith_short_12: UXKDOTMZLHXT · pith_short_16: UXKDOTMZLHXTP2TJ · pith_short_8: UXKDOTMZ

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/UXKDOTMZLHXTP2TJ3JCL322TPY \
  | 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: a5d4374d9959ef37ea69da44bdeb537e2da1f561c97d23a5fa5d754fd3a08d50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb41d523cb7dcf4a137713143ad8daec1e6c555648c156ae349991946a564462",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-17T12:08:26Z",
    "title_canon_sha256": "43312eb9f925fae0f5ac13a826103ffe56608c2b142cfc19db32250ecf1fe719"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3860",
    "kind": "arxiv",
    "version": 1
  }
}