Pith Number

pith:CPFGWPRW

pith:2015:CPFGWPRWIPJMAM42GJE2YYFM75

not attested not anchored not stored refs pending

Conditional Wegner estimate for the standard random breather potential

Ivan Veselic, Matthias T\"aufer

arxiv:1509.03507 v1 · 2015-09-09 · math-ph · math.AP · 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{CPFGWPRWIPJMAM42GJE2YYFM75}

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	2026-05-18T00:04:42.162675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13ca6b3e3643d2c0339a3249ac60acff485c97665580854964123e16e27fa035

Aliases

arxiv: 1509.03507 · arxiv_version: 1509.03507v1 · doi: 10.48550/arxiv.1509.03507 · pith_short_12: CPFGWPRWIPJM · pith_short_16: CPFGWPRWIPJMAM42 · pith_short_8: CPFGWPRW

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/CPFGWPRWIPJMAM42GJE2YYFM75 \
  | 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: 13ca6b3e3643d2c0339a3249ac60acff485c97665580854964123e16e27fa035

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "822f921fade8f2f65f2aa823ffb7dbba394fa210f8fde18eb249acd64dfd5a1f",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-09T15:48:39Z",
    "title_canon_sha256": "c7f7e96daf7eda33f65176978a3cd8044f940a929324304865653681b2d3901a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03507",
    "kind": "arxiv",
    "version": 1
  }
}