Pith Number

pith:PZ5MPURR

pith:2025:PZ5MPURRHVPNAY3U3GDZHMRPKP

not attested not anchored not stored refs pending

Area-minimizing unit vector fields on some spherical annuli

Fabiano Brito, Giovanni Nunes, Jackeline Conrado, Jo\~ao Lucas

arxiv:2502.05955 v1 · 2025-02-09 · 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{PZ5MPURRHVPNAY3U3GDZHMRPKP}

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	2026-07-05T10:11:45.796750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e7ac7d2313d5ed06374d98793b22f53c47e281cf38e3e1e55db156de260db45

Aliases

arxiv: 2502.05955 · arxiv_version: 2502.05955v1 · doi: 10.48550/arxiv.2502.05955 · pith_short_12: PZ5MPURRHVPN · pith_short_16: PZ5MPURRHVPNAY3U · pith_short_8: PZ5MPURR

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/PZ5MPURRHVPNAY3U3GDZHMRPKP \
  | 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: 7e7ac7d2313d5ed06374d98793b22f53c47e281cf38e3e1e55db156de260db45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c745277864f31af2db4b925df92fd9d8de1493a6ecfa48c45a2ea59a9a746f8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-02-09T16:49:34Z",
    "title_canon_sha256": "1242c33041892f2c16a1c476a9123fb1cad27c837eeb8973a37e0bd1239e914a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.05955",
    "kind": "arxiv",
    "version": 1
  }
}