Pith Number

pith:Y7325IKF

pith:2018:Y7325IKF4YZMWX3YUEGQVXHQE7

not attested not anchored not stored refs pending

Kasteleyn operators from mirror symmetry

David Treumann, Eric Zaslow, Harold Williams

arxiv:1810.05985 v2 · 2018-10-14 · math.AG · math.CO · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y7325IKF4YZMWX3YUEGQVXHQE7}

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	2026-05-17T23:59:22.205393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7f7aea145e632cb5f78a10d0adcf027d39c93310974441b2fca2b79a0a3da99

Aliases

arxiv: 1810.05985 · arxiv_version: 1810.05985v2 · doi: 10.48550/arxiv.1810.05985 · pith_short_12: Y7325IKF4YZM · pith_short_16: Y7325IKF4YZMWX3Y · pith_short_8: Y7325IKF

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/Y7325IKF4YZMWX3YUEGQVXHQE7 \
  | 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: c7f7aea145e632cb5f78a10d0adcf027d39c93310974441b2fca2b79a0a3da99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f4b6be962309b213873822cc9a9adcadbb6a46d3328dc7e83376cf59da31896",
    "cross_cats_sorted": [
      "math.CO",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-10-14T07:08:22Z",
    "title_canon_sha256": "524354fdd57f51a3abce607c3647436497f313a28e95a975dc38ce51c725a55a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05985",
    "kind": "arxiv",
    "version": 2
  }
}