Pith Number

pith:D2EDPOE7

pith:2018:D2EDPOE7J3MMHLKW7YYDTPZZCL

not attested not anchored not stored refs pending

On iterated product sets with shifts

Brandon Hanson, Dmitrii Zhelezov, Oliver Roche-Newton

arxiv:1801.07982 v1 · 2018-01-24 · math.NT · math.CA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D2EDPOE7J3MMHLKW7YYDTPZZCL}

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	2026-05-17T23:45:41.162412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e8837b89f4ed8c3ad56fe3039bf3912fb542e0273496ce1a8b3cabe2752fa11

Aliases

arxiv: 1801.07982 · arxiv_version: 1801.07982v1 · doi: 10.48550/arxiv.1801.07982 · pith_short_12: D2EDPOE7J3MM · pith_short_16: D2EDPOE7J3MMHLKW · pith_short_8: D2EDPOE7

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/D2EDPOE7J3MMHLKW7YYDTPZZCL \
  | 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: 1e8837b89f4ed8c3ad56fe3039bf3912fb542e0273496ce1a8b3cabe2752fa11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8076d6f49939b248b852b8930e66b11457d6bf999f343f0d17f1f4d569c0eb2c",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-24T13:39:27Z",
    "title_canon_sha256": "4d1116097f19418ca7a85d8dfd65c8063df4cad66a75635dc377e493725fe470"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07982",
    "kind": "arxiv",
    "version": 1
  }
}