Pith Number

pith:J4MMGTFA

pith:2010:J4MMGTFA2W6QNYQP4QXKCLNLKB

not attested not anchored not stored refs pending

Triviality of $\phi^4_4$ theory: small volume expansion and new data

Peter Weisz, Ulli Wolff

arxiv:1012.0404 v1 · 2010-12-02 · hep-lat · cond-mat.stat-mech · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4MMGTFA2W6QNYQP4QXKCLNLKB}

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	2026-05-18T04:21:21.366546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f18c34ca0d5bd06e20fe42ea12dab5058294e5e1cd9f3b20f0040b71156b668

Aliases

arxiv: 1012.0404 · arxiv_version: 1012.0404v1 · doi: 10.48550/arxiv.1012.0404 · pith_short_12: J4MMGTFA2W6Q · pith_short_16: J4MMGTFA2W6QNYQP · pith_short_8: J4MMGTFA

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/J4MMGTFA2W6QNYQP4QXKCLNLKB \
  | 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: 4f18c34ca0d5bd06e20fe42ea12dab5058294e5e1cd9f3b20f0040b71156b668

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "582a47e0ab0948dedb98e7ef4c38357befe9743419c4a025794e506d74be9367",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2010-12-02T13:15:45Z",
    "title_canon_sha256": "2ca520388cc08dc687930eb3ac59772e67dac39b195c71893b9125dbd7abe4cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0404",
    "kind": "arxiv",
    "version": 1
  }
}