Pith Number

pith:NVHQSVVJ

pith:2013:NVHQSVVJJGFZYGCDB2EPQ4JF5T

not attested not anchored not stored refs pending

2178 And All That

N. J. A. Sloane

arxiv:1307.0453 v4 · 2013-07-01 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NVHQSVVJJGFZYGCDB2EPQ4JF5T}

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	2026-05-18T02:42:46.657906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d4f0956a9498b9c18430e88f87125ecdb9ff1dce8e25ba1e0091f1693c535d5

Aliases

arxiv: 1307.0453 · arxiv_version: 1307.0453v4 · doi: 10.48550/arxiv.1307.0453 · pith_short_12: NVHQSVVJJGFZ · pith_short_16: NVHQSVVJJGFZYGCD · pith_short_8: NVHQSVVJ

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/NVHQSVVJJGFZYGCDB2EPQ4JF5T \
  | 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: 6d4f0956a9498b9c18430e88f87125ecdb9ff1dce8e25ba1e0091f1693c535d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78282e581fccb2261712efaf6bcc26a4bf9a3f39f3bcfd2c3db3af99b1b7a3d6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-01T17:55:29Z",
    "title_canon_sha256": "362a472b7ad281c6f4f2338ede4df04b4dbdc28653299a1e7ed73603a90d1896"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0453",
    "kind": "arxiv",
    "version": 4
  }
}