Pith Number

pith:5STG7DCK

pith:2012:5STG7DCKM7RCCB3PNNK7CXCJ4L

not attested not anchored not stored refs pending

The Pascal Triangle of a Discrete Image: Definition, Properties and Application to Shape Analysis

Mireille Boutin, Shanshan Huang

arxiv:1209.4850 v2 · 2012-09-21 · math-ph · cs.CV · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5STG7DCKM7RCCB3PNNK7CXCJ4L}

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	2026-05-18T03:28:19.556716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eca66f8c4a67e221076f6b55f15c49e2c4d7b551222e932a7aee7a35795a1385

Aliases

arxiv: 1209.4850 · arxiv_version: 1209.4850v2 · doi: 10.48550/arxiv.1209.4850 · pith_short_12: 5STG7DCKM7RC · pith_short_16: 5STG7DCKM7RCCB3P · pith_short_8: 5STG7DCK

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/5STG7DCKM7RCCB3PNNK7CXCJ4L \
  | 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: eca66f8c4a67e221076f6b55f15c49e2c4d7b551222e932a7aee7a35795a1385

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91bc3e91bd87bbf9ce48d40b984b5c6e51ed49ef4b6c6ac0e8168304b319abe7",
    "cross_cats_sorted": [
      "cs.CV",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-21T15:49:14Z",
    "title_canon_sha256": "71783c12ef72955fe5f33aea6bbcaa5b0f6c1479b2cffc31b32139dadae62806"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4850",
    "kind": "arxiv",
    "version": 2
  }
}