Pith Number

pith:RCVMYSXB

pith:2017:RCVMYSXBPJ7PKCMDAO2OXRX3GM

not attested not anchored not stored refs pending

Explicit formulas, symmetry and symmetry breaking for Willmore surfaces of revolution

Rainer Mandel

arxiv:1705.02177 v2 · 2017-05-05 · 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{RCVMYSXBPJ7PKCMDAO2OXRX3GM}

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	2026-05-18T00:34:37.229471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88aacc4ae17a7ef5098303b4ebc6fb3315f61023a7447fd79be57a2b95fc7f09

Aliases

arxiv: 1705.02177 · arxiv_version: 1705.02177v2 · doi: 10.48550/arxiv.1705.02177 · pith_short_12: RCVMYSXBPJ7P · pith_short_16: RCVMYSXBPJ7PKCMD · pith_short_8: RCVMYSXB

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/RCVMYSXBPJ7PKCMDAO2OXRX3GM \
  | 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: 88aacc4ae17a7ef5098303b4ebc6fb3315f61023a7447fd79be57a2b95fc7f09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f0aa74dfe6cbf9ccc32d55d10abc1b3fda4f05ab197da45f6bfc64fdb7b4f12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-05-05T11:54:49Z",
    "title_canon_sha256": "2becb320b58c71078cda7301d3fd9339bf624bcdd51fafc030a2cdec98168f4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02177",
    "kind": "arxiv",
    "version": 2
  }
}