Pith Number

pith:O4PHWJ43

pith:2014:O4PHWJ43EPWGOYIBKVFFCALSDK

not attested not anchored not stored refs pending

Willmore surfaces in spheres via loop groups III: on minimal surfaces in space forms

Peng Wang

arxiv:1412.7833 v2 · 2014-12-25 · 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{O4PHWJ43EPWGOYIBKVFFCALSDK}

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	2026-05-18T01:36:01.717144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

771e7b279b23ec676101554a5101721a997c433d22fe1f56d0e3619737d57290

Aliases

arxiv: 1412.7833 · arxiv_version: 1412.7833v2 · doi: 10.48550/arxiv.1412.7833 · pith_short_12: O4PHWJ43EPWG · pith_short_16: O4PHWJ43EPWGOYIB · pith_short_8: O4PHWJ43

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/O4PHWJ43EPWGOYIBKVFFCALSDK \
  | 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: 771e7b279b23ec676101554a5101721a997c433d22fe1f56d0e3619737d57290

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47c0fac2c2add1de9c5d878d503099d91ad515ef2c84b90d65850e4f8c7cf5a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-12-25T16:10:43Z",
    "title_canon_sha256": "9052148dc78d84f9f2805a0883b96451bc8fec57fb56158ad9123f170a8f3278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7833",
    "kind": "arxiv",
    "version": 2
  }
}