Pith Number

pith:3OVAGRNF

pith:2025:3OVAGRNFOFHOJKVWMEMAOBDIOC

not attested not anchored not stored refs pending

The Pop-Stack Operator on Ornamentation Lattices

Colin Defant, Khalid Ajran

arxiv:2501.10311 v1 · 2025-01-17 · 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{3OVAGRNFOFHOJKVWMEMAOBDIOC}

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.

Cited by

1 paper in Pith

Ornamentation lattices and intreeval hypergraphic lattices

Receipt and verification

First computed	2026-07-05T10:02:20.072559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbaa0345a5714ee4aab6611807046870bbae731ad104490d950419c2a5d4d09b

Aliases

arxiv: 2501.10311 · arxiv_version: 2501.10311v1 · doi: 10.48550/arxiv.2501.10311 · pith_short_12: 3OVAGRNFOFHO · pith_short_16: 3OVAGRNFOFHOJKVW · pith_short_8: 3OVAGRNF

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/3OVAGRNFOFHOJKVWMEMAOBDIOC \
  | 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: dbaa0345a5714ee4aab6611807046870bbae731ad104490d950419c2a5d4d09b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8c66b7a543bf8591fd09aa1690e37ac10803c22e847f6a328ef322bcb3258e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-17T17:27:13Z",
    "title_canon_sha256": "f5dfe70fd3d6edb0d707bc921dc4026f4017a4a92c59721b2e1718b606f18c30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.10311",
    "kind": "arxiv",
    "version": 1
  }
}