Pith Number

pith:PWJKFMCN

pith:2013:PWJKFMCNC7CPIOEBZCBKECWI2M

not attested not anchored not stored refs pending

Finitely forcible graphons and permutons

Andrzej Grzesik, Daniel Kral, Roman Glebov, Tereza Klimosova

arxiv:1307.2444 v5 · 2013-07-09 · 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{PWJKFMCNC7CPIOEBZCBKECWI2M}

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	2026-05-18T01:20:18.015376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d92a2b04d17c4f43881c882a20ac8d325d48d5194a6435fa0f19eb7f472f52b

Aliases

arxiv: 1307.2444 · arxiv_version: 1307.2444v5 · doi: 10.48550/arxiv.1307.2444 · pith_short_12: PWJKFMCNC7CP · pith_short_16: PWJKFMCNC7CPIOEB · pith_short_8: PWJKFMCN

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/PWJKFMCNC7CPIOEBZCBKECWI2M \
  | 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: 7d92a2b04d17c4f43881c882a20ac8d325d48d5194a6435fa0f19eb7f472f52b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a1db8353c90bf429934ecb343b160d5d9281656331762e4e7a24fe13e38f751",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-09T13:24:42Z",
    "title_canon_sha256": "aa5f0fc789c9dd5853e1e7417da939d8efff80881fe67475e71164b7d632e52b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2444",
    "kind": "arxiv",
    "version": 5
  }
}