Pith Number

pith:F46472HF

pith:2014:F46472HFUF2MLW4LXNMCZ6WKOV

not attested not anchored not stored refs pending

Trace formulae for Schrodinger operators on metric graphs with applications to recovering matching conditions

Alexander V. Kiselev, Yulia Ershova

arxiv:1404.0001 v1 · 2014-03-29 · math-ph · 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{F46472HFUF2MLW4LXNMCZ6WKOV}

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	2026-05-18T02:55:05.349073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f3dcfe8e5a174c5db8bbb582cfaca757c124f974720199d064f27ed2839b626

Aliases

arxiv: 1404.0001 · arxiv_version: 1404.0001v1 · doi: 10.48550/arxiv.1404.0001 · pith_short_12: F46472HFUF2M · pith_short_16: F46472HFUF2MLW4L · pith_short_8: F46472HF

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/F46472HFUF2MLW4LXNMCZ6WKOV \
  | 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: 2f3dcfe8e5a174c5db8bbb582cfaca757c124f974720199d064f27ed2839b626

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e85cdf97070bba97d556bdcea40ef1cfbdee3cd593071b2414376624157f1dce",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-03-29T11:13:56Z",
    "title_canon_sha256": "30525714d4837041e03d831a874b096950ff21a80ab4c2ea05ea2551ae0cca86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0001",
    "kind": "arxiv",
    "version": 1
  }
}