Pith Number

pith:ILW6R55R

pith:2015:ILW6R55RBKXPWCVNXBGH6DH3YC

not attested not anchored not stored refs pending

Limits of discrete distributions and Gibbs measures on random graphs

Amin Coja-Oghlan, Kathrin Skubch, Will Perkins

arxiv:1512.06798 v1 · 2015-12-21 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILW6R55RBKXPWCVNXBGH6DH3YC}

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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	2026-05-18T00:30:28.881565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42ede8f7b10aaefb0aadb84c7f0cfbc09bc93419e5d877aea4b4c4c70b41a6a6

Aliases

arxiv: 1512.06798 · arxiv_version: 1512.06798v1 · doi: 10.48550/arxiv.1512.06798 · pith_short_12: ILW6R55RBKXP · pith_short_16: ILW6R55RBKXPWCVN · pith_short_8: ILW6R55R

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/ILW6R55RBKXPWCVNXBGH6DH3YC \
  | 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: 42ede8f7b10aaefb0aadb84c7f0cfbc09bc93419e5d877aea4b4c4c70b41a6a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64fa4ef330e95971a4839e93105fe9f73ac8766ee713efa4d747c36361cdd3eb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-21T20:24:38Z",
    "title_canon_sha256": "336d5e374ae824d4bc5dfe1d82785a199df7568a144ac791e71475c283f24a5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06798",
    "kind": "arxiv",
    "version": 1
  }
}