Pith Number

pith:B2F42FR5

pith:1999:B2F42FR5PCFMYJTJU6FEDHMBR4

not attested not anchored not stored refs pending

On the concept of determinant for the differential operators of Quantum Physics

E. Elizalde

arxiv:hep-th/9906229 v1 · 1999-06-29 · hep-th · math-ph · math.FA · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B2F42FR5PCFMYJTJU6FEDHMBR4}

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.

Cited by

1 paper in Pith

Kaluza-Klein tower thresholds and scheme dependence of the species scale

Receipt and verification

First computed	2026-07-04T16:14:53.625391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e8bcd163d788acc2669a78a419d818f225ea915266f394c5d50bee539ed2f3a

Aliases

arxiv: hep-th/9906229 · arxiv_version: hep-th/9906229v1 · doi: 10.48550/arxiv.hep-th/9906229 · pith_short_12: B2F42FR5PCFM · pith_short_16: B2F42FR5PCFMYJTJ · pith_short_8: B2F42FR5

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/B2F42FR5PCFMYJTJU6FEDHMBR4 \
  | 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: 0e8bcd163d788acc2669a78a419d818f225ea915266f394c5d50bee539ed2f3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9322fb131a0bf5c74bc3bdc8ea2fa3c8bb27de3d1a92119cbfc896b088ffaebb",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-06-29T12:23:13Z",
    "title_canon_sha256": "0e19ddf03c10120ec6f0ee3003ecfb0bf73a8d3b15b09307c3da6490569eed3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9906229",
    "kind": "arxiv",
    "version": 1
  }
}