Pith Number

pith:T76TGVJO

pith:2015:T76TGVJOWGKQ6TB64XHMMF2PX7

not attested not anchored not stored refs pending

A Terrible Expansion of the Determinant

Erik Insko, Katie Johnson, Shaun Sullivan

arxiv:1509.03647 v1 · 2015-09-11 · 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{T76TGVJOWGKQ6TB64XHMMF2PX7}

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	2026-05-18T01:33:14.933439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ffd33552eb1950f4c3ee5cec6174fbfdcb5909e2e1f44f6f9628f32a614e1f7

Aliases

arxiv: 1509.03647 · arxiv_version: 1509.03647v1 · doi: 10.48550/arxiv.1509.03647 · pith_short_12: T76TGVJOWGKQ · pith_short_16: T76TGVJOWGKQ6TB6 · pith_short_8: T76TGVJO

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/T76TGVJOWGKQ6TB64XHMMF2PX7 \
  | 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: 9ffd33552eb1950f4c3ee5cec6174fbfdcb5909e2e1f44f6f9628f32a614e1f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71cadfe90c23d537861ac0f8f02ec7cee47c641d77f2d9507dea2a4d5881fabd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-11T20:34:12Z",
    "title_canon_sha256": "00195b560727cffeaccc811294255b3a2208dac43f44186c6f9d1c6fd3715986"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03647",
    "kind": "arxiv",
    "version": 1
  }
}