Pith Number

pith:P77LCHT6

pith:2016:P77LCHT6MG2VIWSSDDA6BOSU5L

not attested not anchored not stored refs pending

Wegner estimate for Landau-breather Hamiltonians

Ivan Veselic, Matthias T\"aufer

arxiv:1607.00187 v1 · 2016-07-01 · math-ph · math.AP · 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{P77LCHT6MG2VIWSSDDA6BOSU5L}

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	2026-05-18T00:34:23.181690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ffeb11e7e61b5545a5218c1e0ba54ead39d7ad0b5ad2b3c3331dd1c5c18ef72

Aliases

arxiv: 1607.00187 · arxiv_version: 1607.00187v1 · doi: 10.48550/arxiv.1607.00187 · pith_short_12: P77LCHT6MG2V · pith_short_16: P77LCHT6MG2VIWSS · pith_short_8: P77LCHT6

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/P77LCHT6MG2VIWSSDDA6BOSU5L \
  | 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: 7ffeb11e7e61b5545a5218c1e0ba54ead39d7ad0b5ad2b3c3331dd1c5c18ef72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f17537fc2aeee1531f5c0198a99ddd04b0bea70d0766ab3e58efec839943c6d3",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-07-01T10:05:42Z",
    "title_canon_sha256": "23c93b1572f035b2a6f59f00206e0b67eb17458a47e50da7b7bcd5f15fbdb9c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00187",
    "kind": "arxiv",
    "version": 1
  }
}