Pith Number

pith:E7IQYPC3

pith:2007:E7IQYPC3I5VV554KI6XJXDG67A

not attested not anchored not stored refs pending

Analytic properties of the free energy: the tricritical Ising model

Alessandro Mossa, Giuseppe Mussardo

arxiv:0710.0991 v2 · 2007-10-04 · hep-th · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E7IQYPC3I5VV554KI6XJXDG67A}

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	2026-05-18T02:35:24.657592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27d10c3c5b476b5ef78a47ae9b8cdef81afa6dec5f1a55c813023d3c8026e7ed

Aliases

arxiv: 0710.0991 · arxiv_version: 0710.0991v2 · doi: 10.48550/arxiv.0710.0991 · pith_short_12: E7IQYPC3I5VV · pith_short_16: E7IQYPC3I5VV554K · pith_short_8: E7IQYPC3

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/E7IQYPC3I5VV554KI6XJXDG67A \
  | 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: 27d10c3c5b476b5ef78a47ae9b8cdef81afa6dec5f1a55c813023d3c8026e7ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56c7307c4beba0194afda18ec18bd3bfd943fac3140413196abb8b18aadcfdc0",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-10-04T12:15:36Z",
    "title_canon_sha256": "c3e54ac4b03763354b87d1dfae0689ba00125256e3a16d4106c7608b864f3dcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0991",
    "kind": "arxiv",
    "version": 2
  }
}