Pith Number

pith:L7JH4FGJ

pith:2014:L7JH4FGJ23H6WCCBSUV47LQFWV

not attested not anchored not stored refs pending

Linear recurrence sequences and their convolutions via Bell polynomials

Daniel Birmajer, Juan B. Gil, Michael D. Weiner

arxiv:1405.7727 v2 · 2014-05-29 · math.CO · 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{L7JH4FGJ23H6WCCBSUV47LQFWV}

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	2026-05-18T02:31:11.654495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fd27e14c9d6cfeb0841952bcfae05b57e39ccd87969283aaddfeea7eefef725

Aliases

arxiv: 1405.7727 · arxiv_version: 1405.7727v2 · doi: 10.48550/arxiv.1405.7727 · pith_short_12: L7JH4FGJ23H6 · pith_short_16: L7JH4FGJ23H6WCCB · pith_short_8: L7JH4FGJ

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/L7JH4FGJ23H6WCCBSUV47LQFWV \
  | 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: 5fd27e14c9d6cfeb0841952bcfae05b57e39ccd87969283aaddfeea7eefef725

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b736bb037397bb60a247464078a802131d6ebd7fcbce68c823303038f86599f0",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-29T21:02:16Z",
    "title_canon_sha256": "9ee67290aa23d153553c8c8412b236ad00314a2a286757e7e18799762a3875a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.7727",
    "kind": "arxiv",
    "version": 2
  }
}