Pith Number

pith:3LF2AF4F

pith:2007:3LF2AF4F7OSMO2AYQ6PUKLFKNH

not attested not anchored not stored refs pending

The modulus of continuity of Wegner estimates for random Schr\"odinger operators on metric graphs

Ivan Veseli\'c, Michael J. Gruber

arxiv:0707.1486 v1 · 2007-07-10 · math.SP · math-ph · 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{3LF2AF4F7OSMO2AYQ6PUKLFKNH}

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	2026-05-18T04:31:12.447497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dacba01785fba4c76818879f452caa69d0b41fe642e8ce6da6b05c3349c22af0

Aliases

arxiv: 0707.1486 · arxiv_version: 0707.1486v1 · doi: 10.48550/arxiv.0707.1486 · pith_short_12: 3LF2AF4F7OSM · pith_short_16: 3LF2AF4F7OSMO2AY · pith_short_8: 3LF2AF4F

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/3LF2AF4F7OSMO2AYQ6PUKLFKNH \
  | 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: dacba01785fba4c76818879f452caa69d0b41fe642e8ce6da6b05c3349c22af0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71e60e65440449c31909b3b0b41d11f3a832ba9bb054b7f6fc850f4e43579c19",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2007-07-10T16:41:24Z",
    "title_canon_sha256": "734891015dbea3ecfadef4605d984ccdb90eface154ca8808f6ee4d059d5e415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.1486",
    "kind": "arxiv",
    "version": 1
  }
}