Pith Number

pith:GGKAWX2T

pith:2017:GGKAWX2TMDDBMYDYZBMKPWPFJE

not attested not anchored not stored refs pending

Rigidity of the three-dimensional hierarchical Coulomb gas

Sourav Chatterjee

arxiv:1708.01965 v5 · 2017-08-07 · math.PR · 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{GGKAWX2TMDDBMYDYZBMKPWPFJE}

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	2026-05-17T23:50:02.757762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31940b5f5360c6166078c858a7d9e549067f048cb7e129192b09b0c27ffacd48

Aliases

arxiv: 1708.01965 · arxiv_version: 1708.01965v5 · doi: 10.48550/arxiv.1708.01965 · pith_short_12: GGKAWX2TMDDB · pith_short_16: GGKAWX2TMDDBMYDY · pith_short_8: GGKAWX2T

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/GGKAWX2TMDDBMYDYZBMKPWPFJE \
  | 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: 31940b5f5360c6166078c858a7d9e549067f048cb7e129192b09b0c27ffacd48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb80a00ba9b6b10529ed538af3ab1884eb838f2589b6f0863acae451120a7da1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-07T02:19:30Z",
    "title_canon_sha256": "d9548a292fa69fcfdac9f8cd4f57cbe01580077b2402ec54758c065c00cbd19d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01965",
    "kind": "arxiv",
    "version": 5
  }
}