Pith Number

pith:QOFXSWF2

pith:2013:QOFXSWF2XJU34ITHJMK3ROMRF6

not attested not anchored not stored refs pending

Kramers-Wannier Duality of Statistical Mechanics Applied to the Boolean Satisfiability Problem of Computer Science

Benjamin Hsu, Joe Mitchell, Victor Galitski

arxiv:1310.2252 v1 · 2013-10-08 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QOFXSWF2XJU34ITHJMK3ROMRF6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:10:57.503010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

838b7958baba69be22674b15b8b9912f97cae7b8a3e30dadfdd40d115d58ac1f

Aliases

arxiv: 1310.2252 · arxiv_version: 1310.2252v1 · doi: 10.48550/arxiv.1310.2252 · pith_short_12: QOFXSWF2XJU3 · pith_short_16: QOFXSWF2XJU34ITH · pith_short_8: QOFXSWF2

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/QOFXSWF2XJU34ITHJMK3ROMRF6 \
  | 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: 838b7958baba69be22674b15b8b9912f97cae7b8a3e30dadfdd40d115d58ac1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81b3b8eaabc19aa4e787761370a1317ab496f796706d664ee2bfa41829d2026e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-10-08T20:01:04Z",
    "title_canon_sha256": "1e3619be9476385f8aeca347a6843304e97ead73c8e782cffd06ac8621b9b4a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2252",
    "kind": "arxiv",
    "version": 1
  }
}