Pith Number

pith:Z4Z4GAPT

pith:2014:Z4Z4GAPTMKFAEXZ3TCLUT2WNUZ

not attested not anchored not stored refs pending

Lozenge tilings with free boundaries

Greta Panova

arxiv:1408.0417 v2 · 2014-08-02 · math.PR · 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{Z4Z4GAPTMKFAEXZ3TCLUT2WNUZ}

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	2026-05-18T01:31:46.544508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf33c301f3628a025f3b989749eacda67b8062cbb84a0f9b528577793eeef097

Aliases

arxiv: 1408.0417 · arxiv_version: 1408.0417v2 · doi: 10.48550/arxiv.1408.0417 · pith_short_12: Z4Z4GAPTMKFA · pith_short_16: Z4Z4GAPTMKFAEXZ3 · pith_short_8: Z4Z4GAPT

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/Z4Z4GAPTMKFAEXZ3TCLUT2WNUZ \
  | 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: cf33c301f3628a025f3b989749eacda67b8062cbb84a0f9b528577793eeef097

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9afb707106ae88a8db5e07be77a2c0a46ae4387cda9d689484f275fe75c990f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-08-02T20:29:56Z",
    "title_canon_sha256": "bf5ef7dbc3a832fade8e058ca02bf780d82348639330b8d9b959c3a258b5b16c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0417",
    "kind": "arxiv",
    "version": 2
  }
}