Pith Number

pith:OAPK6MH2

pith:1999:OAPK6MH23WI3BSZEDKREKT6YKY

not attested not anchored not stored refs pending

On certain classes of solutions of the Weierstrass-Enneper system inducing constant mean curvature surfaces

Alfred M. Grundland, Paul Bracken

arxiv:math/9907210 v1 · 1999-07-01 · math.AP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OAPK6MH23WI3BSZEDKREKT6YKY}

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	2026-05-18T01:38:22.421817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

701eaf30fadd91b0cb241aa2454fd8561a1ef5be52623ce3bf4938a9b0de82dd

Aliases

arxiv: math/9907210 · arxiv_version: math/9907210v1 · doi: 10.48550/arxiv.math/9907210 · pith_short_12: OAPK6MH23WI3 · pith_short_16: OAPK6MH23WI3BSZE · pith_short_8: OAPK6MH2

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/OAPK6MH23WI3BSZEDKREKT6YKY \
  | 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: 701eaf30fadd91b0cb241aa2454fd8561a1ef5be52623ce3bf4938a9b0de82dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc161bc6859f7d9e6444c8c0d0e60cea3a519ec1537e98925f9b92bc0367f737",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "1999-07-01T00:00:00Z",
    "title_canon_sha256": "2862c25ecdc6511c01d0f02744dc1964728936d58086c8d3262e2d16f3c321ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9907210",
    "kind": "arxiv",
    "version": 1
  }
}