Pith Number

pith:H4VGENEC

pith:2026:H4VGENECQ3WMQ6IT64ZHL7SOZL

not attested not anchored not stored refs pending

Large deviations for the maximum of the generalized TAP free energy

Jeanne Boursier

arxiv:2607.29330 v1 · 2026-07-31 · math.PR · 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{H4VGENECQ3WMQ6IT64ZHL7SOZL}

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	2026-08-03T01:24:56.519160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f2a62348286ecc87913f73275fe4ecac0400ff337b17c434b6e51cf99089f62

Aliases

arxiv: 2607.29330 · arxiv_version: 2607.29330v1 · doi: 10.48550/arxiv.2607.29330 · pith_short_12: H4VGENECQ3WM · pith_short_16: H4VGENECQ3WMQ6IT · pith_short_8: H4VGENEC

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/H4VGENECQ3WMQ6IT64ZHL7SOZL \
  | 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: 3f2a62348286ecc87913f73275fe4ecac0400ff337b17c434b6e51cf99089f62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56c670c07d793632001c1c156baf68413097239829cb887c54b0e53053d54106",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-31T12:02:52Z",
    "title_canon_sha256": "05f35f206aa47ee3d453b6e7ae7f5afb42e576bdfd631582ac21a7a8007a0090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29330",
    "kind": "arxiv",
    "version": 1
  }
}