Pith Number

pith:VEWWOC3S

pith:2025:VEWWOC3SCXIVHCN3R5RPTQD22W

not attested not anchored not stored refs pending

Quantum ergodicity for contact metric structures

Lino Benedetto

arxiv:2507.18216 v4 · 2025-07-24 · math.AP · 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{VEWWOC3SCXIVHCN3R5RPTQD22W}

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	2026-05-25T02:02:08.049334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a92d670b7215d15389bb8f62f9c07ad5b3d74c1b4512df3a7499287029f3fdef

Aliases

arxiv: 2507.18216 · arxiv_version: 2507.18216v4 · doi: 10.48550/arxiv.2507.18216 · pith_short_12: VEWWOC3SCXIV · pith_short_16: VEWWOC3SCXIVHCN3 · pith_short_8: VEWWOC3S

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/VEWWOC3SCXIVHCN3R5RPTQD22W \
  | 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: a92d670b7215d15389bb8f62f9c07ad5b3d74c1b4512df3a7499287029f3fdef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad04fea32bd22ec59e7d41c3727b8b2fcf824099151cd419809831ab1236fe36",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-24T09:11:35Z",
    "title_canon_sha256": "0a16efcd4fa064c4dfe70e4e65027d924a67c6df4b9d99d7b548bd3a981ad8b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.18216",
    "kind": "arxiv",
    "version": 4
  }
}