Pith Number

pith:UO5XUZ2Z

pith:2015:UO5XUZ2ZCFXLMMFLMAWIS3QYCH

not attested not anchored not stored refs pending

The Truncated & Supplemented Pascal Matrix and Applications

J. Sun, M. Hua, M. Yu, S. B. Damelin

arxiv:1506.07437 v4 · 2015-06-24 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UO5XUZ2ZCFXLMMFLMAWIS3QYCH}

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	2026-05-18T00:21:00.362481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3bb7a6759116eb630ab602c896e1811e1626993c3735927fada3491e94b2c1e

Aliases

arxiv: 1506.07437 · arxiv_version: 1506.07437v4 · doi: 10.48550/arxiv.1506.07437 · pith_short_12: UO5XUZ2ZCFXL · pith_short_16: UO5XUZ2ZCFXLMMFL · pith_short_8: UO5XUZ2Z

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/UO5XUZ2ZCFXLMMFLMAWIS3QYCH \
  | 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: a3bb7a6759116eb630ab602c896e1811e1626993c3735927fada3491e94b2c1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cbd2f0bcbda30cfcdbb7c541397582341e922d7c7bea17c4f41e2cd0f53d097",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-24T15:56:38Z",
    "title_canon_sha256": "38a0f8bef9fb4d38a99bc8f65ded5cd8975ad3961018dd2ae6173fa18bb5ecb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07437",
    "kind": "arxiv",
    "version": 4
  }
}