Pith Number

pith:T4EPKXYU

pith:2016:T4EPKXYUUUFART72ZQXCMJLQI5

not attested not anchored not stored refs pending

Number rigidity in superhomogeneous random point fields

Joel Lebowitz, Subhro Ghosh

arxiv:1601.04216 v1 · 2016-01-16 · math.PR · cond-mat.stat-mech · 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{T4EPKXYUUUFART72ZQXCMJLQI5}

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	2026-05-18T00:57:17.560652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f08f55f14a50a08cffacc2e262570474014885ccffdac6a6a8d2cc9dbedd9f2

Aliases

arxiv: 1601.04216 · arxiv_version: 1601.04216v1 · doi: 10.48550/arxiv.1601.04216 · pith_short_12: T4EPKXYUUUFA · pith_short_16: T4EPKXYUUUFART72 · pith_short_8: T4EPKXYU

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/T4EPKXYUUUFART72ZQXCMJLQI5 \
  | 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: 9f08f55f14a50a08cffacc2e262570474014885ccffdac6a6a8d2cc9dbedd9f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edc775062e071979758289c52aefde74b21e702d45504d25b4c18f0e3759778c",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-16T21:55:12Z",
    "title_canon_sha256": "fb93dab05f621d7f850cfcf93d8e869c69392dd9a35a6c8ff1fd1765beefaac7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04216",
    "kind": "arxiv",
    "version": 1
  }
}