Pith Number

pith:LV7SWA5K

pith:2005:LV7SWA5KKKQ24CW5CUW54H7GF4

not attested not anchored not stored refs pending

Counting carefree couples

Pieter Moree

arxiv:math/0510003 v2 · 2005-09-30 · 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{LV7SWA5KKKQ24CW5CUW54H7GF4}

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	2026-05-18T02:48:18.132387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d7f2b03aa52a1ae0add152dde1fe62f070f7c835e898d780e47bf1d6b0e48be

Aliases

arxiv: math/0510003 · arxiv_version: math/0510003v2 · doi: 10.48550/arxiv.math/0510003 · pith_short_12: LV7SWA5KKKQ2 · pith_short_16: LV7SWA5KKKQ24CW5 · pith_short_8: LV7SWA5K

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/LV7SWA5KKKQ24CW5CUW54H7GF4 \
  | 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: 5d7f2b03aa52a1ae0add152dde1fe62f070f7c835e898d780e47bf1d6b0e48be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49bed9aad36fe1b637c173d80608fc6591cf38e2a0a8f10ba615ac2bc8ae55bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2005-09-30T20:23:59Z",
    "title_canon_sha256": "a6ec772f75a592e4adf8b9d2610cd22c798cf29792f0bec4ef5e9f3b95dd0a2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510003",
    "kind": "arxiv",
    "version": 2
  }
}