Pith Number

pith:U5RZHT6H

pith:2016:U5RZHT6H4WZ7ZFUPN7TKR3IA2I

not attested not anchored not stored refs pending

When almost all sets are difference dominated in $\mathbb{Z}/n\mathbb{Z}$

Adam Lott, Anand Hemmady, Steven J. Miller

arxiv:1608.03209 v2 · 2016-08-10 · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5RZHT6H4WZ7ZFUPN7TKR3IA2I}

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	2026-05-18T00:36:41.203791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a76393cfc7e5b3fc968f6fe6a8ed00d203f7ec1088b01ec6113eb23c2c4c3302

Aliases

arxiv: 1608.03209 · arxiv_version: 1608.03209v2 · doi: 10.48550/arxiv.1608.03209 · pith_short_12: U5RZHT6H4WZ7 · pith_short_16: U5RZHT6H4WZ7ZFUP · pith_short_8: U5RZHT6H

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/U5RZHT6H4WZ7ZFUPN7TKR3IA2I \
  | 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: a76393cfc7e5b3fc968f6fe6a8ed00d203f7ec1088b01ec6113eb23c2c4c3302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7890675319dd96fec5d06c5754a2e5e3b241e4477a4cbbb6a517b43551ba15af",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-10T15:22:39Z",
    "title_canon_sha256": "61674bd61413a4fafad5b93d88201075a663879f466613a0bb2c67f977f281f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03209",
    "kind": "arxiv",
    "version": 2
  }
}