Pith Number

pith:VALS27I2

pith:2017:VALS27I262CJFJWB4TEBJ3H3O7

not attested not anchored not stored refs pending

Iterated Sumsets and Setpartitions

David J. Grynkiewicz

arxiv:1709.09288 v1 · 2017-09-27 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VALS27I262CJFJWB4TEBJ3H3O7}

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	2026-05-18T00:34:12.294987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8172d7d1af68492a6c1e4c814ecfb77db7741f3c4ecb6475a677bacc2032d5d

Aliases

arxiv: 1709.09288 · arxiv_version: 1709.09288v1 · doi: 10.48550/arxiv.1709.09288 · pith_short_12: VALS27I262CJ · pith_short_16: VALS27I262CJFJWB · pith_short_8: VALS27I2

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/VALS27I262CJFJWB4TEBJ3H3O7 \
  | 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: a8172d7d1af68492a6c1e4c814ecfb77db7741f3c4ecb6475a677bacc2032d5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "412a73d1d5b7440338decf3928fa56e92199f21c042f0dcd8301a47ce9135499",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-27T00:07:20Z",
    "title_canon_sha256": "a0655b352155432c918848601be6a51898481a9f28c07d4fe53599e8804fdda4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09288",
    "kind": "arxiv",
    "version": 1
  }
}