Pith Number

pith:MQAYNQBW

pith:2015:MQAYNQBW6CGTBPJ3OHMXQBAFPZ

not attested not anchored not stored refs pending

Asymptotic results for the number of Wagner's solutions to a generalised birthday problem

Alexey Lindo, Serik Sagitov

arxiv:1507.05490 v1 · 2015-07-20 · 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{MQAYNQBW6CGTBPJ3OHMXQBAFPZ}

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	2026-05-18T01:36:36.671412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

640186c036f08d30bd3b71d97804057e78e3dcecbcc2d617abeb34c72b49009e

Aliases

arxiv: 1507.05490 · arxiv_version: 1507.05490v1 · doi: 10.48550/arxiv.1507.05490 · pith_short_12: MQAYNQBW6CGT · pith_short_16: MQAYNQBW6CGTBPJ3 · pith_short_8: MQAYNQBW

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/MQAYNQBW6CGTBPJ3OHMXQBAFPZ \
  | 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: 640186c036f08d30bd3b71d97804057e78e3dcecbcc2d617abeb34c72b49009e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16c2a88e9b6c18f7cce7b62a05edfeb2cadf1ca638453078592377fed686c3d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-20T13:41:31Z",
    "title_canon_sha256": "87a6e876816c80556ce58b2abaaaff9a29b2a7994404c795a4a42701a78cd389"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05490",
    "kind": "arxiv",
    "version": 1
  }
}