Pith Number

pith:2HJN6TV2

pith:2019:2HJN6TV2R4DUIB7WES7AH5O3OI

not attested not anchored not stored refs pending

Counting birthday collisions using partitions

Jen McKenzie, Rob Burns

arxiv:1906.08671 v1 · 2019-06-20 · math.CO · 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{2HJN6TV2R4DUIB7WES7AH5O3OI}

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	2026-05-17T23:42:49.625129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1d2df4eba8f074407f624be03f5db7202cc83b196fc10379931a6145e18f380

Aliases

arxiv: 1906.08671 · arxiv_version: 1906.08671v1 · doi: 10.48550/arxiv.1906.08671 · pith_short_12: 2HJN6TV2R4DU · pith_short_16: 2HJN6TV2R4DUIB7W · pith_short_8: 2HJN6TV2

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/2HJN6TV2R4DUIB7WES7AH5O3OI \
  | 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: d1d2df4eba8f074407f624be03f5db7202cc83b196fc10379931a6145e18f380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8305a71ba85351554115f066a425a9106329e70416d5b1790745a0314fb916b9",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-20T14:50:31Z",
    "title_canon_sha256": "1a50e2fbca9cb29e85fb1522120e7f2846ba74ea00b29f6982d218c9351e9af4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08671",
    "kind": "arxiv",
    "version": 1
  }
}