Pith Number

pith:NFNIRVFG

pith:2016:NFNIRVFGJPZBEF75CLIUBHJFJG

not attested not anchored not stored refs pending

A new type of factorial series expansions and applications

O. Costin, R.D. Costin

arxiv:1608.01010 v3 · 2016-08-02 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFNIRVFGJPZBEF75CLIUBHJFJG}

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	2026-05-18T01:09:06.123280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

695a88d4a64bf21217fd12d1409d2549b63653872a8cb06d842bbe70bedf1fe9

Aliases

arxiv: 1608.01010 · arxiv_version: 1608.01010v3 · doi: 10.48550/arxiv.1608.01010 · pith_short_12: NFNIRVFGJPZB · pith_short_16: NFNIRVFGJPZBEF75 · pith_short_8: NFNIRVFG

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/NFNIRVFGJPZBEF75CLIUBHJFJG \
  | 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: 695a88d4a64bf21217fd12d1409d2549b63653872a8cb06d842bbe70bedf1fe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6235371f12b5282ded9966a806373b669c412175fc97cfb7f490759ebc3f20e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-08-02T21:33:04Z",
    "title_canon_sha256": "4fefb5ec4dfaaf9df2f8e1219bc47b64908459fad97ae59f7e6f2a03e20d247e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01010",
    "kind": "arxiv",
    "version": 3
  }
}