Pith Number

pith:VJWTDBXR

pith:2014:VJWTDBXRMKQFL2BXTPEWML5FLL

not attested not anchored not stored refs pending

Binomial transform and the backward difference

Khristo N. Boyadzhiev

arxiv:1410.3014 v3 · 2014-10-11 · 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{VJWTDBXRMKQFL2BXTPEWML5FLL}

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	2026-05-18T00:51:34.365974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa6d3186f162a055e8379bc9662fa55aea24d883257b41766229b936f9d064d2

Aliases

arxiv: 1410.3014 · arxiv_version: 1410.3014v3 · doi: 10.48550/arxiv.1410.3014 · pith_short_12: VJWTDBXRMKQF · pith_short_16: VJWTDBXRMKQFL2BX · pith_short_8: VJWTDBXR

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/VJWTDBXRMKQFL2BXTPEWML5FLL \
  | 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: aa6d3186f162a055e8379bc9662fa55aea24d883257b41766229b936f9d064d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d31668670ffe98247585aa6680f839b235f2bba5a1a0970e9de69634da581b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-11T17:26:07Z",
    "title_canon_sha256": "2ceb48c37a3e409d07b2a8f6061b7684058af4b5d6ccdcf6f7cf6a2cfd851ea7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3014",
    "kind": "arxiv",
    "version": 3
  }
}