Pith Number

pith:DWREI4DB

pith:2012:DWREI4DBFAJHY4OC2E64HBUWXU

not attested not anchored not stored refs pending

Exact solution of the six-vertex model with domain wall boundary conditions. Critical line between disordered and antiferroelectric phases

Pavel Bleher, Thomas Bothner

arxiv:1208.6276 v2 · 2012-08-30 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DWREI4DBFAJHY4OC2E64HBUWXU}

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	2026-05-18T03:46:33.912842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1da244706128127c71c2d13dc38696bd2e6f20a0f906f011933e9f3269d482ff

Aliases

arxiv: 1208.6276 · arxiv_version: 1208.6276v2 · doi: 10.48550/arxiv.1208.6276 · pith_short_12: DWREI4DBFAJH · pith_short_16: DWREI4DBFAJHY4OC · pith_short_8: DWREI4DB

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/DWREI4DBFAJHY4OC2E64HBUWXU \
  | 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: 1da244706128127c71c2d13dc38696bd2e6f20a0f906f011933e9f3269d482ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeeb7f1b200803401ee7874842cd843fa533a2cef03f163e6d8d66162392bb09",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-30T19:39:12Z",
    "title_canon_sha256": "d47e5cbbff7d4c5821651c96ee9eca76346eb6810959abc5e4123b197ed2ef34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6276",
    "kind": "arxiv",
    "version": 2
  }
}