Pith Number

pith:5BLAXEHW

pith:2024:5BLAXEHWZ37CQB5KMMDPOUINBR

not attested not anchored not stored refs pending

Wulff inequality for minimal submanifolds in Euclidean space

Wenkui Du, Yuchao Yi, Ziyi Zhao

arxiv:2412.19063 v1 · 2024-12-26 · 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{5BLAXEHWZ37CQB5KMMDPOUINBR}

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	2026-07-05T09:54:15.546821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8560b90f6cefe2807aa6306f7510d0c7d0f0e679f15f63fd19fad9bfe99c0e1

Aliases

arxiv: 2412.19063 · arxiv_version: 2412.19063v1 · doi: 10.48550/arxiv.2412.19063 · pith_short_12: 5BLAXEHWZ37C · pith_short_16: 5BLAXEHWZ37CQB5K · pith_short_8: 5BLAXEHW

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/5BLAXEHWZ37CQB5KMMDPOUINBR \
  | 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: e8560b90f6cefe2807aa6306f7510d0c7d0f0e679f15f63fd19fad9bfe99c0e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84962f3aaed3176de56f49aa5b6bdbfb3ac4ff88437a12704ac0f6f437668247",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-12-26T05:18:05Z",
    "title_canon_sha256": "fc5acdac7f1788cc3adfcc7d06cc485a58fbe2800f1086f7ba548c010bef9728"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19063",
    "kind": "arxiv",
    "version": 1
  }
}