Pith Number

pith:7ELPVEIN

pith:2019:7ELPVEINMX6AEUE5QHNTQMQAL6

not attested not anchored not stored refs pending

An Identity for Vertically Aligned Entries in Pascal's Triangle

Heidi Goodson

arxiv:1901.08653 v2 · 2019-01-24 · 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{7ELPVEINMX6AEUE5QHNTQMQAL6}

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	2026-05-17T23:54:58.489603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f916fa910d65fc02509d81db3832005fbee857758cd5af0ae0d1dae991b737f4

Aliases

arxiv: 1901.08653 · arxiv_version: 1901.08653v2 · doi: 10.48550/arxiv.1901.08653 · pith_short_12: 7ELPVEINMX6A · pith_short_16: 7ELPVEINMX6AEUE5 · pith_short_8: 7ELPVEIN

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/7ELPVEINMX6AEUE5QHNTQMQAL6 \
  | 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: f916fa910d65fc02509d81db3832005fbee857758cd5af0ae0d1dae991b737f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc136dee0461b1086ff4f14615adec99558857e8bf3823e186da9dd62281baa8",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-24T21:50:57Z",
    "title_canon_sha256": "c2af70a8a882b5fda66479ddd226b119b6094df93a017f83c0ebc88495305752"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08653",
    "kind": "arxiv",
    "version": 2
  }
}