Pith Number

pith:G4OEAN2B

pith:2015:G4OEAN2BCCP7BRM5BZRLDD6O5N

not attested not anchored not stored refs pending

Finite topology minimal surfaces in homogeneous three-manifolds

Joaquin Perez, William H. Meeks III

arxiv:1505.06764 v3 · 2015-05-25 · 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{G4OEAN2BCCP7BRM5BZRLDD6O5N}

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	2026-05-18T01:02:05.100658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

371c403741109ff0c59d0e62b18fceeb60fc6069e70057d8c29c29ab8df1dc88

Aliases

arxiv: 1505.06764 · arxiv_version: 1505.06764v3 · doi: 10.48550/arxiv.1505.06764 · pith_short_12: G4OEAN2BCCP7 · pith_short_16: G4OEAN2BCCP7BRM5 · pith_short_8: G4OEAN2B

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/G4OEAN2BCCP7BRM5BZRLDD6O5N \
  | 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: 371c403741109ff0c59d0e62b18fceeb60fc6069e70057d8c29c29ab8df1dc88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81ec4d439afd9306a6b2eeb1852deffaf6ae45bfa0985a7e309602a65efe269b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-05-25T21:40:57Z",
    "title_canon_sha256": "f3ba8c653d6fea7764d74ffac32d01550f29371cf05e1b8ef66441d00164b3be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06764",
    "kind": "arxiv",
    "version": 3
  }
}