Pith Number

pith:2BEJGBG3

pith:2016:2BEJGBG3WZP7T72LUSX4WDMCIF

not attested not anchored not stored refs pending

Generalized Riordan arrays and zero generalized Pascal matrices

E. Burlachenko

arxiv:1612.07657 v1 · 2016-12-21 · 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{2BEJGBG3WZP7T72LUSX4WDMCIF}

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	2026-05-18T00:54:09.594193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0489304dbb65ff9ff4ba4afcb0d824156950bf188877fbd57d270dd4a7c5132

Aliases

arxiv: 1612.07657 · arxiv_version: 1612.07657v1 · doi: 10.48550/arxiv.1612.07657 · pith_short_12: 2BEJGBG3WZP7 · pith_short_16: 2BEJGBG3WZP7T72L · pith_short_8: 2BEJGBG3

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/2BEJGBG3WZP7T72LUSX4WDMCIF \
  | 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: d0489304dbb65ff9ff4ba4afcb0d824156950bf188877fbd57d270dd4a7c5132

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e555ca078fb5ee70ca7772d288c5ea03eb8e99a12213d3c16c861ee45360bb52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-21T22:13:46Z",
    "title_canon_sha256": "52315c8f42a48e40f87e0d8b05d041037b55d525576af2ee597b2d4e2cd7719c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07657",
    "kind": "arxiv",
    "version": 1
  }
}