Pith Number

pith:4QIJQPTM

pith:2009:4QIJQPTMY72FPPU4B3OBIXZPEY

not attested not anchored not stored refs pending

Combinatorial approach to the interpolation method and scaling limits in sparse random graphs

David Gamarnik, Mohsen Bayati, Prasad Tetali

arxiv:0912.2444 v3 · 2009-12-12 · 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{4QIJQPTMY72FPPU4B3OBIXZPEY}

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	2026-05-18T03:04:46.931026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e410983e6cc7f457be9c0edc145f2f2603dca65dce8dc676c15400c950f13788

Aliases

arxiv: 0912.2444 · arxiv_version: 0912.2444v3 · doi: 10.48550/arxiv.0912.2444 · pith_short_12: 4QIJQPTMY72F · pith_short_16: 4QIJQPTMY72FPPU4 · pith_short_8: 4QIJQPTM

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/4QIJQPTMY72FPPU4B3OBIXZPEY \
  | 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: e410983e6cc7f457be9c0edc145f2f2603dca65dce8dc676c15400c950f13788

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d12954ca266b63ff159f9d95fbb8a3e218688ba5a9d4dd05f84e31b089a6ec2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-12-12T18:50:11Z",
    "title_canon_sha256": "a6127fb337b420202a6a3031a4a0d31265174a056bab263a5d994150a5307f1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2444",
    "kind": "arxiv",
    "version": 3
  }
}