Pith Number

pith:VAXHGXXW

pith:2024:VAXHGXXWWMFQKOO4ZQ65NBJLV3

not attested not anchored not stored refs pending

Half-space intersection properties for minimal hypersurfaces

Jonathan J. Zhu, Keaton Naff

arxiv:2401.09669 v2 · 2024-01-18 · 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{VAXHGXXWWMFQKOO4ZQ65NBJLV3}

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	2026-07-05T08:46:20.748348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a82e735ef6b30b0539dccc3dd6852baef025b15e035fc2add5f11b75b7906554

Aliases

arxiv: 2401.09669 · arxiv_version: 2401.09669v2 · doi: 10.48550/arxiv.2401.09669 · pith_short_12: VAXHGXXWWMFQ · pith_short_16: VAXHGXXWWMFQKOO4 · pith_short_8: VAXHGXXW

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/VAXHGXXWWMFQKOO4ZQ65NBJLV3 \
  | 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: a82e735ef6b30b0539dccc3dd6852baef025b15e035fc2add5f11b75b7906554

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebe475a77d4c3740aa3700ff8c283b122f183568a2dc40a2bb5ffdaffaa0ee50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-01-18T01:03:30Z",
    "title_canon_sha256": "8762d5460ce1ac80b4d9d0ce1fb4e863c9361a93167d6195f9e96b84f968d012"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.09669",
    "kind": "arxiv",
    "version": 2
  }
}