Pith Number

pith:ZFUA3XS6

pith:2012:ZFUA3XS6NZLTCWND76232BUO77

not attested not anchored not stored refs pending

Region graph partition function expansion and approximate free energy landscapes: Theory and some numerical results

Chuang Wang, Haijun Zhou

arxiv:1204.1818 v2 · 2012-04-09 · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZFUA3XS6NZLTCWND76232BUO77}

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	2026-05-18T03:17:34.319160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9680dde5e6e573159a3ffb5bd068effde3abe9049cd25a4075d6847d329e3ac

Aliases

arxiv: 1204.1818 · arxiv_version: 1204.1818v2 · doi: 10.48550/arxiv.1204.1818 · pith_short_12: ZFUA3XS6NZLT · pith_short_16: ZFUA3XS6NZLTCWND · pith_short_8: ZFUA3XS6

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/ZFUA3XS6NZLTCWND76232BUO77 \
  | 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: c9680dde5e6e573159a3ffb5bd068effde3abe9049cd25a4075d6847d329e3ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db3bd24b84d822ec1a77ddd7ebc6f609d408fec314f2894fd93fe3447371529f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2012-04-09T07:18:53Z",
    "title_canon_sha256": "a7bbe4d10ac0b5bc5ebe0f60dd5dcbe3b1b859a9cc6eaf6fc18774f74558086b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1818",
    "kind": "arxiv",
    "version": 2
  }
}