Pith Number

pith:THZZ4A7V

pith:2021:THZZ4A7VH5ZVW22LTOQ5UDQZRW

not attested not anchored not stored refs pending

Low index capillary minimal surfaces in Riemannian $3$-manifolds

Eduardo Longa

arxiv:2104.05148 v1 · 2021-04-12 · 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{THZZ4A7VH5ZVW22LTOQ5UDQZRW}

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	2026-07-05T02:31:08.818211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99f39e03f53f735b6b4b9ba1da0e198db48a9faed205e4f556c8b6cabcbda607

Aliases

arxiv: 2104.05148 · arxiv_version: 2104.05148v1 · doi: 10.48550/arxiv.2104.05148 · pith_short_12: THZZ4A7VH5ZV · pith_short_16: THZZ4A7VH5ZVW22L · pith_short_8: THZZ4A7V

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/THZZ4A7VH5ZVW22LTOQ5UDQZRW \
  | 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: 99f39e03f53f735b6b4b9ba1da0e198db48a9faed205e4f556c8b6cabcbda607

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7620329e1b174f294779546c8c42e4e8cb7327af6575bee72777d0c5c8e1e26e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-04-12T01:10:46Z",
    "title_canon_sha256": "748c06181a7f4d89be07e38f3a8de33c604b6ce217933c16e668395730124dfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.05148",
    "kind": "arxiv",
    "version": 1
  }
}