Pith Number

pith:7VYBYGUS

pith:2002:7VYBYGUSYNQPS3WT4Y3UBPHSTZ

not attested not anchored not stored refs pending

The space of embedded minimal surfaces of fixed genus in a 3-manifold IV; Locally simply connected

Tobias H. Colding, William P. Minicozzi II

arxiv:math/0210119 v1 · 2002-10-08 · 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{7VYBYGUSYNQPS3WT4Y3UBPHSTZ}

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.

Cited by

1 paper in Pith

Half-Space Theorem for Minimal Hypersurfaces in $\mathbb{R}^4$

Receipt and verification

First computed	2026-07-04T14:36:37.159078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd701c1a92c360f96ed3e63740bcf29e5048cb93269d8fad63b73a2574d7799a

Aliases

arxiv: math/0210119 · arxiv_version: math/0210119v1 · doi: 10.48550/arxiv.math/0210119 · pith_short_12: 7VYBYGUSYNQP · pith_short_16: 7VYBYGUSYNQPS3WT · pith_short_8: 7VYBYGUS

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/7VYBYGUSYNQPS3WT4Y3UBPHSTZ \
  | 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: fd701c1a92c360f96ed3e63740bcf29e5048cb93269d8fad63b73a2574d7799a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24c9d34c8b13cb77502b780ff3c8bdb6b06f09bb7abb5777456b9012298fbab9",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2002-10-08T13:54:17Z",
    "title_canon_sha256": "8bf6d0d216feb133c218dc5519d56040b0506e4347e2a5ba162a32e00ab9b6a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0210119",
    "kind": "arxiv",
    "version": 1
  }
}