Pith Number

pith:TWAZVKLZ

pith:2018:TWAZVKLZBOLLEJCTKSMLCKN4YR

not attested not anchored not stored refs pending

Operator scaling with specified marginals

Cole Franks

arxiv:1801.01412 v2 · 2018-01-01 · math.CO · cs.CC · math.AG · math.OC · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TWAZVKLZBOLLEJCTKSMLCKN4YR}

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	2026-05-18T00:12:32.431965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d819aa9790b96b224535498b129bcc472b8eff064acc27a2fb208bf3e6827d4

Aliases

arxiv: 1801.01412 · arxiv_version: 1801.01412v2 · doi: 10.48550/arxiv.1801.01412 · pith_short_12: TWAZVKLZBOLL · pith_short_16: TWAZVKLZBOLLEJCT · pith_short_8: TWAZVKLZ

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/TWAZVKLZBOLLEJCTKSMLCKN4YR \
  | 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: 9d819aa9790b96b224535498b129bcc472b8eff064acc27a2fb208bf3e6827d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "780b85d830b9f969a84dea1002b4eb9c428ac238157186ae5417660178b77376",
    "cross_cats_sorted": [
      "cs.CC",
      "math.AG",
      "math.OC",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-01T22:40:13Z",
    "title_canon_sha256": "f90f61344305aa2c00f594e3cb4d5db8164cf99cb4cef0853f4358a274e91fd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01412",
    "kind": "arxiv",
    "version": 2
  }
}