Pith Number

pith:4S7BC3Y7

pith:2009:4S7BC3Y7WZ5TGRZ2KTBV52ENXF

not attested not anchored not stored refs pending

The interaction of a gap with a free boundary in a two dimensional dimer system

Bloomington), Christian Krattenthaler (Universit\"at Wien), Mihai Ciucu (Indiana University

arxiv:0912.2023 v1 · 2009-12-10 · math.CO · cond-mat.stat-mech · math-ph · 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{4S7BC3Y7WZ5TGRZ2KTBV52ENXF}

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	2026-05-18T02:10:24.796792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4be116f1fb67b33473a54c35ee88db97c1501a598b535fbc6bb9278f4c81ab1

Aliases

arxiv: 0912.2023 · arxiv_version: 0912.2023v1 · doi: 10.48550/arxiv.0912.2023 · pith_short_12: 4S7BC3Y7WZ5T · pith_short_16: 4S7BC3Y7WZ5TGRZ2 · pith_short_8: 4S7BC3Y7

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/4S7BC3Y7WZ5TGRZ2KTBV52ENXF \
  | 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: e4be116f1fb67b33473a54c35ee88db97c1501a598b535fbc6bb9278f4c81ab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d59388a011b3edf389c165230c3a99924b52804b8c444e9c9b1e934d188ba3b",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-12-10T15:41:01Z",
    "title_canon_sha256": "67f6596595521a25dd71ed9eedd13c4aadba4a0e45b477b43965652701f607ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2023",
    "kind": "arxiv",
    "version": 1
  }
}