Pith Number

pith:J4TKYDSV

pith:2018:J4TKYDSVSEQMMDXEAT7RJHUR2J

not attested not anchored not stored refs pending

Dimers and Circle patterns

Marianna Russkikh, Richard Kenyon, Sanjay Ramassamy, Wai Yeung Lam

arxiv:1810.05616 v2 · 2018-10-12 · math-ph · math.CV · math.DS · math.GT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4TKYDSVSEQMMDXEAT7RJHUR2J}

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	2026-07-05T05:10:51.131194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f26ac0e559120c60ee404ff149e91d272004e283023384a1683dc98f970adac

Aliases

arxiv: 1810.05616 · arxiv_version: 1810.05616v2 · doi: 10.48550/arxiv.1810.05616 · pith_short_12: J4TKYDSVSEQM · pith_short_16: J4TKYDSVSEQMMDXE · pith_short_8: J4TKYDSV

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/J4TKYDSVSEQMMDXEAT7RJHUR2J \
  | 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: 4f26ac0e559120c60ee404ff149e91d272004e283023384a1683dc98f970adac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea324cc8232673018a0224911e2a9a75617cfe365af89d9f0879c3b19a662a19",
    "cross_cats_sorted": [
      "math.CV",
      "math.DS",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-10-12T17:15:38Z",
    "title_canon_sha256": "78d021d28255ee9e425e5cf280ce59e445deefde340f50f9247553491601f8ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05616",
    "kind": "arxiv",
    "version": 2
  }
}