Pith Number

pith:Q5U2KEXX

pith:2013:Q5U2KEXXFQ3X54VLSMPYC4F7SV

not attested not anchored not stored refs pending

Maximal accretive extensions of Schr\"odinger operators on vector bundles over infinite graphs

Francoise Truc (IF), Ognjen Milatovic (UNF)

arxiv:1307.1213 v2 · 2013-07-04 · 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{Q5U2KEXXFQ3X54VLSMPYC4F7SV}

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	2026-05-18T02:32:06.321860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8769a512f72c377ef2ab931f8170bf9554e7a066d1b0dbd902710083dd228cde

Aliases

arxiv: 1307.1213 · arxiv_version: 1307.1213v2 · doi: 10.48550/arxiv.1307.1213 · pith_short_12: Q5U2KEXXFQ3X · pith_short_16: Q5U2KEXXFQ3X54VL · pith_short_8: Q5U2KEXX

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/Q5U2KEXXFQ3X54VLSMPYC4F7SV \
  | 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: 8769a512f72c377ef2ab931f8170bf9554e7a066d1b0dbd902710083dd228cde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8601bf57e989535dac00ebcaa994aea8933ef58730a509855113638d827fbd76",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-04T06:18:03Z",
    "title_canon_sha256": "d3b513a3cc7e0d154e16522b21c32a6e8cdc04ea04d8a27959237f1a9393db7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1213",
    "kind": "arxiv",
    "version": 2
  }
}