Pith Number

pith:NTGBE7JK

pith:2009:NTGBE7JKCML7ST7DIAQOMQBYMJ

not attested not anchored not stored refs pending

Uniqueness of Ground States for Short-Range Spin Glasses in the Half-Plane

Charles Newman, Daniel Stein, Louis-Pierre Arguin, Michael Damron

arxiv:0911.4201 v1 · 2009-11-21 · math.PR · cond-mat.dis-nn · 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{NTGBE7JKCML7ST7DIAQOMQBYMJ}

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	2026-05-18T02:10:37.764561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ccc127d2a1317f94fe34020e6403862703918fd1514f447c92d01b6c7d33210

Aliases

arxiv: 0911.4201 · arxiv_version: 0911.4201v1 · doi: 10.48550/arxiv.0911.4201 · pith_short_12: NTGBE7JKCML7 · pith_short_16: NTGBE7JKCML7ST7D · pith_short_8: NTGBE7JK

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/NTGBE7JKCML7ST7DIAQOMQBYMJ \
  | 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: 6ccc127d2a1317f94fe34020e6403862703918fd1514f447c92d01b6c7d33210

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a9acc6c577366c311f097529f6794b1b13cd55a6c3d185f4abd78d2a2779db1",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-11-21T20:51:55Z",
    "title_canon_sha256": "76892797aa40d7c50ed79eb1cac3142963607cb2f5f321a765ffa1d5ff15d3ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4201",
    "kind": "arxiv",
    "version": 1
  }
}