Pith Number

pith:MM7P2X7Q

pith:2026:MM7P2X7QG5WMZ3Y4YYGSM4RBDJ

not attested not anchored not stored refs pending

The two-particle-irreducible vertex of the two-dimensional lattice $\phi^4$ model across the Ising transition

Lode Pollet

arxiv:2608.04497 v1 · 2026-08-05 · cond-mat.stat-mech · hep-lat · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MM7P2X7QG5WMZ3Y4YYGSM4RBDJ}

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	2026-08-06T01:35:42.909082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

633efd5ff0376cccef1cc60d2672211a62bee1c4585d3e4627b61fa95870fef7

Aliases

arxiv: 2608.04497 · arxiv_version: 2608.04497v1 · doi: 10.48550/arxiv.2608.04497 · pith_short_12: MM7P2X7QG5WM · pith_short_16: MM7P2X7QG5WMZ3Y4 · pith_short_8: MM7P2X7Q

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/MM7P2X7QG5WMZ3Y4YYGSM4RBDJ \
  | 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: 633efd5ff0376cccef1cc60d2672211a62bee1c4585d3e4627b61fa95870fef7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2abb748e1f9a9305726ae25254fee86ec7a89cd8e5926a51884159dc8324a378",
    "cross_cats_sorted": [
      "hep-lat",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-08-05T06:34:04Z",
    "title_canon_sha256": "84f8c3cde40b2ab7622ca227fc4af1175f964d6c4f56977e826de94f09ab5d8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04497",
    "kind": "arxiv",
    "version": 1
  }
}