Pith Number

pith:SZZT7LKE

pith:2017:SZZT7LKEBSDXMT4SNVGEXYYIUH

not attested not anchored not stored refs pending

Optimal transport and integer partitions

Sonja Hohloch

arxiv:1704.01666 v1 · 2017-04-05 · math.NT · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SZZT7LKEBSDXMT4SNVGEXYYIUH}

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	2026-05-18T00:46:54.639782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96733fad440c87764f926d4c4be308a1fbb92b1f01c44f0c289c8593870b3b49

Aliases

arxiv: 1704.01666 · arxiv_version: 1704.01666v1 · doi: 10.48550/arxiv.1704.01666 · pith_short_12: SZZT7LKEBSDX · pith_short_16: SZZT7LKEBSDXMT4S · pith_short_8: SZZT7LKE

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/SZZT7LKEBSDXMT4SNVGEXYYIUH \
  | 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: 96733fad440c87764f926d4c4be308a1fbb92b1f01c44f0c289c8593870b3b49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16e5b8f21c58f7f3718206ab0df5c9e1a74b3356b73c68b0aaf52f4cacb4227c",
    "cross_cats_sorted": [
      "math.CO",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-05T23:14:11Z",
    "title_canon_sha256": "d2a0ec01875912d7074ca2c14d1f21d41e28b776eda6aa183facf54554af9272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01666",
    "kind": "arxiv",
    "version": 1
  }
}