Pith Number

pith:XNTK7DIE

pith:2025:XNTK7DIEYLJC62644BSKNTOR6I

not attested not anchored not stored refs pending

A lower bound of the energy functional of a class of vector fields and a characterization of the sphere

Giovanni da Silva Nunes, Jaime Ripoll

arxiv:2504.18975 v1 · 2025-04-26 · 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{XNTK7DIEYLJC62644BSKNTOR6I}

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	2026-07-05T10:54:49.832586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb66af8d04c2d22f6bdce064a6cdd1f22438ae3dce1d8e9e071fee58d86f2785

Aliases

arxiv: 2504.18975 · arxiv_version: 2504.18975v1 · doi: 10.48550/arxiv.2504.18975 · pith_short_12: XNTK7DIEYLJC · pith_short_16: XNTK7DIEYLJC6264 · pith_short_8: XNTK7DIE

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/XNTK7DIEYLJC62644BSKNTOR6I \
  | 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: bb66af8d04c2d22f6bdce064a6cdd1f22438ae3dce1d8e9e071fee58d86f2785

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77e2b61605fe6f8e0ecd23b4140abd28ccb22aea0038ed72022d58ead0901e4f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-04-26T17:27:37Z",
    "title_canon_sha256": "b1f973aaaa465b82eb21e63f85663ea216ab11536ff20ca9cc282f4661335429"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.18975",
    "kind": "arxiv",
    "version": 1
  }
}