Pith Number

pith:YD4R4ZP5

pith:2012:YD4R4ZP5E3QWHSILVV5OENLTOT

not attested not anchored not stored refs pending

Global minimizers for the doubly-constrained Helfrich energy: the axisymmetric case

Marco Veneroni, Rustum Choksi

arxiv:1202.1979 v2 · 2012-02-09 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YD4R4ZP5E3QWHSILVV5OENLTOT}

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	2026-05-18T03:50:25.453674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0f91e65fd26e163c90bad7ae2357374f7491b76790de50039003bdeb2ef3deb

Aliases

arxiv: 1202.1979 · arxiv_version: 1202.1979v2 · doi: 10.48550/arxiv.1202.1979 · pith_short_12: YD4R4ZP5E3QW · pith_short_16: YD4R4ZP5E3QWHSIL · pith_short_8: YD4R4ZP5

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/YD4R4ZP5E3QWHSILVV5OENLTOT \
  | 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: c0f91e65fd26e163c90bad7ae2357374f7491b76790de50039003bdeb2ef3deb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcacc2d51ae1fa88b341f308fabeb6259e45310c69f75bf0262242731c604fb6",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-09T13:35:40Z",
    "title_canon_sha256": "9c6d767630be587b8ace6d2dc80947e877d96f4efa704e24b222bd346477f22a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1979",
    "kind": "arxiv",
    "version": 2
  }
}