Pith Number

pith:FRTUO57D

pith:2021:FRTUO57DE2TWEXOXAI6HFQQXUI

not attested not anchored not stored refs pending

Geometrical aspect of susceptibility critical exponent

Q. H. Liu

arxiv:2108.13200 v4 · 2021-08-26 · 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{FRTUO57DE2TWEXOXAI6HFQQXUI}

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	2026-07-05T04:20:29.306348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c674777e326a7625dd7023c72c217a2108e543a1c56f5af7d276e4075957882

Aliases

arxiv: 2108.13200 · arxiv_version: 2108.13200v4 · doi: 10.48550/arxiv.2108.13200 · pith_short_12: FRTUO57DE2TW · pith_short_16: FRTUO57DE2TWEXOX · pith_short_8: FRTUO57D

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/FRTUO57DE2TWEXOXAI6HFQQXUI \
  | 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: 2c674777e326a7625dd7023c72c217a2108e543a1c56f5af7d276e4075957882

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2f28c8825918b13365429ed0b13eb307e27d6448fa7af549ae4e28a95aa9c91",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2021-08-26T07:14:30Z",
    "title_canon_sha256": "10f64c8f2b5445cce766e9951188acd3c4e75be0ad5878184c6c539408ae9188"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.13200",
    "kind": "arxiv",
    "version": 4
  }
}