Pith Number

pith:U6NMSDEH

pith:2026:U6NMSDEHQX5XPDJ6QEZWDQFYID

not attested not anchored not stored refs pending

Failure of the Weak Sard property without Anomalous Dissipation

Umberto Pappalettera

arxiv:2607.27044 v1 · 2026-07-29 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U6NMSDEHQX5XPDJ6QEZWDQFYID}

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	2026-07-30T01:23:25.359288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

a79ac90c8785fb778d3e813361c0b840d5e1c8eb4c641d9a171ed7d54823f5e7

Aliases

arxiv: 2607.27044 · arxiv_version: 2607.27044v1 · doi: 10.48550/arxiv.2607.27044 · pith_short_12: U6NMSDEHQX5X · pith_short_16: U6NMSDEHQX5XPDJ6 · pith_short_8: U6NMSDEH

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/U6NMSDEHQX5XPDJ6QEZWDQFYID \
  | 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: a79ac90c8785fb778d3e813361c0b840d5e1c8eb4c641d9a171ed7d54823f5e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "215a3cb47ffacb9788abe5a4dae77cdabc87a7a799b1bc2e381e890d5d421205",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-29T15:34:52Z",
    "title_canon_sha256": "e119074654e551cb446a9021183707eea2a1b91dd03079508ff02cf3bdb6d6c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27044",
    "kind": "arxiv",
    "version": 1
  }
}