Pith Number

pith:ONFP5VOR

pith:2014:ONFP5VORPX7RL3IQK2XY745CEN

not attested not anchored not stored refs pending

The Asymptotics of Large Constrained Graphs

Charles Radin, Kui Ren, Lorenzo Sadun

arxiv:1401.1170 v2 · 2014-01-06 · math.CO · cs.SI · 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{ONFP5VORPX7RL3IQK2XY745CEN}

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	2026-05-18T00:48:43.488296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

734afed5d17dff15ed1056af8ff3a2234a41d1fdc403bbd304a3ced457bf5e84

Aliases

arxiv: 1401.1170 · arxiv_version: 1401.1170v2 · doi: 10.48550/arxiv.1401.1170 · pith_short_12: ONFP5VORPX7R · pith_short_16: ONFP5VORPX7RL3IQ · pith_short_8: ONFP5VOR

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/ONFP5VORPX7RL3IQK2XY745CEN \
  | 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: 734afed5d17dff15ed1056af8ff3a2234a41d1fdc403bbd304a3ced457bf5e84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7baf7b5c41fe3e6991d441ef8452012ad11175207ef7316d270ebb8cea7288d1",
    "cross_cats_sorted": [
      "cs.SI",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-06T19:11:41Z",
    "title_canon_sha256": "ea736e549860cdec6ffe08bd642b3b306ae1f8b0895aea46ad79423b0bfbc47c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1170",
    "kind": "arxiv",
    "version": 2
  }
}