Pith Number

pith:HXKS4BXP

pith:2004:HXKS4BXP2VKBTEUPRVSD2QTB7C

not attested not anchored not stored refs pending

Functional determinants for general Sturm-Liouville problems

Alan J. McKane, Klaus Kirsten

arxiv:math-ph/0403050 v1 · 2004-03-26 · math-ph · cond-mat.other · hep-th · 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{HXKS4BXP2VKBTEUPRVSD2QTB7C}

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	2026-07-04T15:20:32.841506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dd52e06efd55419928f8d643d4261f880df54a68b0348623166d0369bfdbf9e

Aliases

arxiv: math-ph/0403050 · arxiv_version: math-ph/0403050v1 · doi: 10.48550/arxiv.math-ph/0403050 · pith_short_12: HXKS4BXP2VKB · pith_short_16: HXKS4BXP2VKBTEUP · pith_short_8: HXKS4BXP

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/HXKS4BXP2VKBTEUPRVSD2QTB7C \
  | 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: 3dd52e06efd55419928f8d643d4261f880df54a68b0348623166d0369bfdbf9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "348f134180b3e698b831f6981fc06fcc60e590e682320cd7ad418776e68b8b82",
    "cross_cats_sorted": [
      "cond-mat.other",
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-03-26T21:15:35Z",
    "title_canon_sha256": "65640784a9eec5e75eb7726106df6f761056ad86052a7c102c8a727ac21bdd5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0403050",
    "kind": "arxiv",
    "version": 1
  }
}