Pith Number

pith:LEOTKL4V

pith:2013:LEOTKL4VBLQAH6YGS5NQHZDERR

not attested not anchored not stored refs pending

Spectral Functions for Regular Sturm-Liouville Problems

Curtis Graham, Guglielmo Fucci, Klaus Kirsten

arxiv:1311.0174 v1 · 2013-11-01 · math-ph · 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{LEOTKL4VBLQAH6YGS5NQHZDERR}

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	2026-05-18T02:18:23.949111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

591d352f950ae003fb06975b03e4648c77fb68589882607da70db0c75bee6d64

Aliases

arxiv: 1311.0174 · arxiv_version: 1311.0174v1 · doi: 10.48550/arxiv.1311.0174 · pith_short_12: LEOTKL4VBLQA · pith_short_16: LEOTKL4VBLQAH6YG · pith_short_8: LEOTKL4V

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/LEOTKL4VBLQAH6YGS5NQHZDERR \
  | 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: 591d352f950ae003fb06975b03e4648c77fb68589882607da70db0c75bee6d64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54bc923102453413734a3ddfd4df074a3f84fe60ac2bb7b7da9fe2c69ebf1418",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-01T13:10:16Z",
    "title_canon_sha256": "27a838701540d5a0a42c0eb3c431ef3c15f5befa3dd6a7acc427783e9250134c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0174",
    "kind": "arxiv",
    "version": 1
  }
}