Pith Number

pith:ZR6IIHPD

pith:2010:ZR6IIHPDH4LWGNK4VPY5C7SM6L

not attested not anchored not stored refs pending

Graphons, cut norm and distance, couplings and rearrangements

Svante Janson

arxiv:1009.2376 v3 · 2010-09-13 · 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{ZR6IIHPDH4LWGNK4VPY5C7SM6L}

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.

Cited by

1 paper in Pith

Graphons, Geometry, and Dynamics: Forward and Inverse Perspectives

Receipt and verification

First computed	2026-05-18T04:20:49.814515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc7c841de33f1763355cabf1d17e4cf2e29d8cb35956d5fb76bab061e54d70f9

Aliases

arxiv: 1009.2376 · arxiv_version: 1009.2376v3 · doi: 10.48550/arxiv.1009.2376 · pith_short_12: ZR6IIHPDH4LW · pith_short_16: ZR6IIHPDH4LWGNK4 · pith_short_8: ZR6IIHPD

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/ZR6IIHPDH4LWGNK4VPY5C7SM6L \
  | 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: cc7c841de33f1763355cabf1d17e4cf2e29d8cb35956d5fb76bab061e54d70f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0150739bc2f090b12256cfd92b9f15316fb05ee9e10a3001a5be2a5561ec0b5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-13T13:00:59Z",
    "title_canon_sha256": "ab694f6656da08a1099d35f5da20b425ce367ca56216812ec9fb7a699603ee02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2376",
    "kind": "arxiv",
    "version": 3
  }
}