Pith Number

pith:JGM46Q6Z

pith:2021:JGM46Q6ZV4BXSL4KYLXFUXQZ4N

not attested not anchored not stored refs pending

Cut norm discontinuity of triangular truncation of graphons

Teddy Mishura

arxiv:2110.06984 v2 · 2021-10-13 · math.CO · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JGM46Q6ZV4BXSL4KYLXFUXQZ4N}

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	2026-07-05T03:25:34.846298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4999cf43d9af03792f8ac2ee5a5e19e350b5bd70c29104b8781099fceebdd2e1

Aliases

arxiv: 2110.06984 · arxiv_version: 2110.06984v2 · doi: 10.48550/arxiv.2110.06984 · pith_short_12: JGM46Q6ZV4BX · pith_short_16: JGM46Q6ZV4BXSL4K · pith_short_8: JGM46Q6Z

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/JGM46Q6ZV4BXSL4KYLXFUXQZ4N \
  | 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: 4999cf43d9af03792f8ac2ee5a5e19e350b5bd70c29104b8781099fceebdd2e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd7e26a648ddb42244f4c1acb0e70a7e03c3ef0ed3be20af11a6f6ee63bc36fb",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-10-13T18:54:49Z",
    "title_canon_sha256": "fa9f4fedd2ac85342cd9398f0d724eb0227de4ef765ccd4e250e856eb1240e12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.06984",
    "kind": "arxiv",
    "version": 2
  }
}