Pith Number

pith:TF527NBB

pith:2021:TF527NBBP5MDJ277S5JAT6I6CS

not attested not anchored not stored refs pending

The birthday boy problem

Wadim Zudilin

arxiv:2108.06586 v2 · 2021-08-14 · 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{TF527NBBP5MDJ277S5JAT6I6CS}

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	2026-07-05T05:56:52.617581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

997bafb4217f5834ebff975209f91e14a9a1ecc58a5a0375b3fc5b0e0c3cdffc

Aliases

arxiv: 2108.06586 · arxiv_version: 2108.06586v2 · doi: 10.48550/arxiv.2108.06586 · pith_short_12: TF527NBBP5MD · pith_short_16: TF527NBBP5MDJ277 · pith_short_8: TF527NBB

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/TF527NBBP5MDJ277S5JAT6I6CS \
  | 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: 997bafb4217f5834ebff975209f91e14a9a1ecc58a5a0375b3fc5b0e0c3cdffc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7856a8fead759b9432b2967c4a8c26cf2f1c80eacc8e668468df44b56e0bf96a",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-08-14T16:56:45Z",
    "title_canon_sha256": "7ac65c5760c379dd58e77494be1ebc35725acf341c99bd7d9f94f3428108e595"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.06586",
    "kind": "arxiv",
    "version": 2
  }
}