Pith Number

pith:YI3KR4KT

pith:2015:YI3KR4KT7KEX6NFWBBI4UW6LKI

not attested not anchored not stored refs pending

Beyond Aztec Castles: Toric Cascades in the $dP_3$ Quiver

Gregg Musiker, Tri Lai

arxiv:1512.00507 v3 · 2015-12-01 · 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{YI3KR4KT7KEX6NFWBBI4UW6LKI}

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	2026-05-18T00:38:40.105930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c236a8f153fa897f34b60851ca5bcb523afab3143eb24b4ba815af4c930924b0

Aliases

arxiv: 1512.00507 · arxiv_version: 1512.00507v3 · doi: 10.48550/arxiv.1512.00507 · pith_short_12: YI3KR4KT7KEX · pith_short_16: YI3KR4KT7KEX6NFW · pith_short_8: YI3KR4KT

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/YI3KR4KT7KEX6NFWBBI4UW6LKI \
  | 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: c236a8f153fa897f34b60851ca5bcb523afab3143eb24b4ba815af4c930924b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d739e822bc01280530fa5c3c9887c1dc3c7b0c3ab6856f91bc633befb8ee814d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-01T22:47:11Z",
    "title_canon_sha256": "67d0b7941e2dc51458eba0c8aaf7d2d599316e50786b051c5e63155cc1855bb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00507",
    "kind": "arxiv",
    "version": 3
  }
}