Pith Number

pith:LW6PYP6D

pith:2016:LW6PYP6D2MUE5N2BCPLM6EJIXF

not attested not anchored not stored refs pending

Wulff shape for equilibrium phases

Charles Radin

arxiv:1610.08564 v2 · 2016-10-26 · math-ph · cond-mat.stat-mech · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LW6PYP6D2MUE5N2BCPLM6EJIXF}

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	2026-05-18T00:39:22.914569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dbcfc3fc3d3284eb74113d6cf1128b974174fadc306d4b7e9f58a5597ae2919

Aliases

arxiv: 1610.08564 · arxiv_version: 1610.08564v2 · doi: 10.48550/arxiv.1610.08564 · pith_short_12: LW6PYP6D2MUE · pith_short_16: LW6PYP6D2MUE5N2B · pith_short_8: LW6PYP6D

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/LW6PYP6D2MUE5N2BCPLM6EJIXF \
  | 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: 5dbcfc3fc3d3284eb74113d6cf1128b974174fadc306d4b7e9f58a5597ae2919

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19ab0bf0d76e2f0dc6f200a6ddb0454cf3975151b293e1a9ef3b4b3351a5e33f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-26T22:34:46Z",
    "title_canon_sha256": "66049ba2d26eb3327399003cd1a1b57de5711072cb0d630935553b9fc244becf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08564",
    "kind": "arxiv",
    "version": 2
  }
}