Pith Number

pith:S2HMDFV6

pith:2022:S2HMDFV65MDMHAWPDSPMTJWXFW

not attested not anchored not stored refs pending

Geometric properties of spin clusters in random triangulations coupled with an Ising Model

Laurent M\'enard, Marie Albenque

arxiv:2201.11922 v1 · 2022-01-28 · math.PR · math-ph · math.CO · 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{S2HMDFV65MDMHAWPDSPMTJWXFW}

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.

Cited by

1 paper in Pith

The scaling limit of planar maps with large faces

Receipt and verification

First computed	2026-07-05T03:52:18.533409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

968ec196beeb06c382cf1c9ec9a6d72db46d87c91ea2aee20f7b60fe85449532

Aliases

arxiv: 2201.11922 · arxiv_version: 2201.11922v1 · doi: 10.48550/arxiv.2201.11922 · pith_short_12: S2HMDFV65MDM · pith_short_16: S2HMDFV65MDMHAWP · pith_short_8: S2HMDFV6

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/S2HMDFV65MDMHAWPDSPMTJWXFW \
  | 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: 968ec196beeb06c382cf1c9ec9a6d72db46d87c91ea2aee20f7b60fe85449532

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff8b308671725a2aee3e4c2a5131a7f064620c3f12a4216779d30bb496b54825",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-01-28T03:57:49Z",
    "title_canon_sha256": "620f23c85ce5d5e2d3fb4f78dc6bb82c5b6fe91df33b2c5f78aad245c3a43327"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.11922",
    "kind": "arxiv",
    "version": 1
  }
}