Pith Number

pith:N7IHVOXL

pith:2019:N7IHVOXLOD5FYLAB7MHZ52P3OM

not attested not anchored not stored refs pending

Order of Fluctuations of the Free Energy in the SK Model at Critical Temperature

Wai-Kit Lam, Wei-Kuo Chen

arxiv:1901.10070 v3 · 2019-01-29 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N7IHVOXLOD5FYLAB7MHZ52P3OM}

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	2026-05-17T23:52:51.008588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fd07abaeb70fa5c2c01fb0f9ee9fb733541220c4daffe3c3eea31c0e91d77ef

Aliases

arxiv: 1901.10070 · arxiv_version: 1901.10070v3 · doi: 10.48550/arxiv.1901.10070 · pith_short_12: N7IHVOXLOD5F · pith_short_16: N7IHVOXLOD5FYLAB · pith_short_8: N7IHVOXL

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/N7IHVOXLOD5FYLAB7MHZ52P3OM \
  | 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: 6fd07abaeb70fa5c2c01fb0f9ee9fb733541220c4daffe3c3eea31c0e91d77ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfe965028f708c916c8c0ee3623663cd16aff56f3ca46be87e5af945e535dfc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-01-29T02:21:44Z",
    "title_canon_sha256": "e3e573431bff8439821bd9c175d3b55858eca96d72ee03cc0387f329affe2b28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10070",
    "kind": "arxiv",
    "version": 3
  }
}