Pith Number

pith:JC5UDKXA

pith:2017:JC5UDKXAZPLMKHEMO5KI7V7Y3J

not attested not anchored not stored refs pending

Surface effects in dense random graphs with sharp edge constraint

Charles Radin, Kui Ren, Lorenzo Sadun

arxiv:1709.01036 v2 · 2017-09-04 · math.CO · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JC5UDKXAZPLMKHEMO5KI7V7Y3J}

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	2026-05-18T00:33:58.510353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48bb41aae0cbd6c51c8c77548fd7f8da7a5e7eaa8e0b3c270f65da9cf930fd29

Aliases

arxiv: 1709.01036 · arxiv_version: 1709.01036v2 · doi: 10.48550/arxiv.1709.01036 · pith_short_12: JC5UDKXAZPLM · pith_short_16: JC5UDKXAZPLMKHEM · pith_short_8: JC5UDKXA

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/JC5UDKXAZPLMKHEMO5KI7V7Y3J \
  | 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: 48bb41aae0cbd6c51c8c77548fd7f8da7a5e7eaa8e0b3c270f65da9cf930fd29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54bcc54b1bd9a4643f65fd939517d055b30b8bb6406d8ff93e276913a3745e3d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-04T16:41:25Z",
    "title_canon_sha256": "9d1623261e2321ee7087f5856ce5cfd91530a6f7a7d91dc2bd144f75a7cf386c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01036",
    "kind": "arxiv",
    "version": 2
  }
}