Pith Number

pith:MLY3S3BK

pith:2026:MLY3S3BKB6RTBN55FDNWL6YAVV

not attested not anchored not stored refs pending

A first-order formulation for axisymmetric Willmore surfaces

Z. C. Tu

arxiv:2606.01001 v1 · 2026-05-31 · math-ph · cond-mat.soft · math.AP · 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{MLY3S3BKB6RTBN55FDNWL6YAVV}

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	2026-06-02T01:04:17.878527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62f1b96c2a0fa330b7bd28db65fb00ad46f5b2d002d11b6c7f31f2c825730f31

Aliases

arxiv: 2606.01001 · arxiv_version: 2606.01001v1 · doi: 10.48550/arxiv.2606.01001 · pith_short_12: MLY3S3BKB6RT · pith_short_16: MLY3S3BKB6RTBN55 · pith_short_8: MLY3S3BK

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/MLY3S3BKB6RTBN55FDNWL6YAVV \
  | 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: 62f1b96c2a0fa330b7bd28db65fb00ad46f5b2d002d11b6c7f31f2c825730f31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "264c2282621d4ebd8a04d25556ebc07bb0fec22620b5b5e16e9206c526d4246f",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-05-31T04:32:29Z",
    "title_canon_sha256": "5f73ef0456d21eef78328b3a42669dae33ed9c80f5d8a76cfa2f01904b64dbfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01001",
    "kind": "arxiv",
    "version": 1
  }
}