Pith Number

pith:XQ5R265K

pith:2018:XQ5R265KEBMB5QULRNBQIJTUHK

not attested not anchored not stored refs pending

On path partitions of the divisor graph

Eric Saias, Paul Melotti

arxiv:1807.07783 v1 · 2018-07-20 · 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{XQ5R265KEBMB5QULRNBQIJTUHK}

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	2026-05-18T00:10:15.663736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc3b1d7baa20581ec28b8b430426743a9f969f83fca6a2a0a05a1f7ccce1651d

Aliases

arxiv: 1807.07783 · arxiv_version: 1807.07783v1 · doi: 10.48550/arxiv.1807.07783 · pith_short_12: XQ5R265KEBMB · pith_short_16: XQ5R265KEBMB5QUL · pith_short_8: XQ5R265K

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/XQ5R265KEBMB5QULRNBQIJTUHK \
  | 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: bc3b1d7baa20581ec28b8b430426743a9f969f83fca6a2a0a05a1f7ccce1651d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "919cb1ac93d14726cf8f1983c8a1f8cba3fb55904ee3014f0b65d32d98779897",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-20T10:47:46Z",
    "title_canon_sha256": "78711eeba1857678848fd111aec34060b502989dcbfb5385d880ee0879b81d8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07783",
    "kind": "arxiv",
    "version": 1
  }
}