Pith Number

pith:6OX466DS

pith:2017:6OX466DSTENYB4UJIWNKG5F762

not attested not anchored not stored refs pending

Finitely forcible graph limits are universal

Daniel Kral, Jacob W. Cooper, Taisa L. Martins

arxiv:1701.03846 v5 · 2017-01-13 · 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{6OX466DSTENYB4UJIWNKG5F762}

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	2026-05-18T00:03:50.393289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3afcf7872991b80f289459aa374bff6a8cfe4499b9c01c519aa5495ec55b170

Aliases

arxiv: 1701.03846 · arxiv_version: 1701.03846v5 · doi: 10.48550/arxiv.1701.03846 · pith_short_12: 6OX466DSTENY · pith_short_16: 6OX466DSTENYB4UJ · pith_short_8: 6OX466DS

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/6OX466DSTENYB4UJIWNKG5F762 \
  | 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: f3afcf7872991b80f289459aa374bff6a8cfe4499b9c01c519aa5495ec55b170

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71966236956949319a4410433e7a3e8e2b140094b1531188eede81eb35f0dfbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-13T22:48:53Z",
    "title_canon_sha256": "5d7de4b61723e09d5c1e026600b03b20aab28d6919b13bb71d9af9da61757de0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03846",
    "kind": "arxiv",
    "version": 5
  }
}