Pith Number

pith:DV5TPS3I

pith:2015:DV5TPS3I7WRKI43IBJPYVPJLUD

not attested not anchored not stored refs pending

Uniform linear embeddings of graphons

Huda Chuangpishit, Jeannette Janssen, Mahya Ghandehari

arxiv:1507.04389 v3 · 2015-07-15 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DV5TPS3I7WRKI43IBJPYVPJLUD}

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	2026-05-18T01:04:41.686989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d7b37cb68fda2a473680a5f8abd2ba0d0c9f786a4cfecf645d5ec343795f3c5

Aliases

arxiv: 1507.04389 · arxiv_version: 1507.04389v3 · doi: 10.48550/arxiv.1507.04389 · pith_short_12: DV5TPS3I7WRK · pith_short_16: DV5TPS3I7WRKI43I · pith_short_8: DV5TPS3I

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/DV5TPS3I7WRKI43IBJPYVPJLUD \
  | 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: 1d7b37cb68fda2a473680a5f8abd2ba0d0c9f786a4cfecf645d5ec343795f3c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33e1e0f3b1ddad2438f3ea04d8342f4d1ee58cd8ebaaa665a960cea2a77e2b3f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-15T20:41:20Z",
    "title_canon_sha256": "e9c5b5cd8c9f13d463827f0fe8f396d8e43e43d1e0b6565e8e0e6a354dcaacc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04389",
    "kind": "arxiv",
    "version": 3
  }
}