Pith Number

pith:MXGUTVKB

pith:2006:MXGUTVKBP7VYABJEZ4O4DYSS26

not attested not anchored not stored refs pending

The Probability of Choosing Primitive Sets

Kevin Woods, Sergi Elizalde

arxiv:math/0607390 v1 · 2006-07-17 · math.NT · math.CO · 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{MXGUTVKBP7VYABJEZ4O4DYSS26}

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	2026-05-18T02:16:39.591927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65cd49d5417feb800524cf1dc1e252d7b869383cb6fc7cb450726bca5a9ed7af

Aliases

arxiv: math/0607390 · arxiv_version: math/0607390v1 · doi: 10.48550/arxiv.math/0607390 · pith_short_12: MXGUTVKBP7VY · pith_short_16: MXGUTVKBP7VYABJE · pith_short_8: MXGUTVKB

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/MXGUTVKBP7VYABJEZ4O4DYSS26 \
  | 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: 65cd49d5417feb800524cf1dc1e252d7b869383cb6fc7cb450726bca5a9ed7af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42bc7e31c0281ce7fd2b08a1666fd0566a693df68810711eb37011124570c103",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-07-17T14:56:33Z",
    "title_canon_sha256": "4ff8f5a2593439a0c8124d4467f1b1de60d74a874f6e1515d3e9a001c3c42661"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607390",
    "kind": "arxiv",
    "version": 1
  }
}