Pith Number

pith:2PSK2TWP

pith:2014:2PSK2TWPCKRLD33ZHIUE2EV5JZ

not attested not anchored not stored refs pending

Counting arithmetic formulas

Carlo Sanna, Edinah K. Gnang, Maksym Radziwill

arxiv:1406.1704 v1 · 2014-06-06 · math.CO · cs.DM · 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{2PSK2TWPCKRLD33ZHIUE2EV5JZ}

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	2026-05-18T02:50:14.116073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3e4ad4ecf12a2b1ef793a284d12bd4e5fbc03e82de5bb221f1e221cae07a2d5

Aliases

arxiv: 1406.1704 · arxiv_version: 1406.1704v1 · doi: 10.48550/arxiv.1406.1704 · pith_short_12: 2PSK2TWPCKRL · pith_short_16: 2PSK2TWPCKRLD33Z · pith_short_8: 2PSK2TWP

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/2PSK2TWPCKRLD33ZHIUE2EV5JZ \
  | 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: d3e4ad4ecf12a2b1ef793a284d12bd4e5fbc03e82de5bb221f1e221cae07a2d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e24ed2d13f23ab85b1f8e4edca5814b9f409449f889c17cbf375cbfd04e3dc47",
    "cross_cats_sorted": [
      "cs.DM",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-06T15:23:18Z",
    "title_canon_sha256": "5d66d9a19edd9ac1d6019be46fcbf9021a722dbf14e7fea16ac5571e177daa9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.1704",
    "kind": "arxiv",
    "version": 1
  }
}