Pith Number

pith:FZFWH2ID

pith:2013:FZFWH2IDXEN2FSFHIO3D47YAEQ

not attested not anchored not stored refs pending

Energy of solenoidal vector fields on spherical domains

Andr\'e Gomes, Fabiano Brito

arxiv:1307.6620 v1 · 2013-07-25 · 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{FZFWH2IDXEN2FSFHIO3D47YAEQ}

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	2026-05-18T03:17:35.791311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e4b63e903b91ba2c8a743b63e7f002437debf516fc5ebc7b06f36e0c08438cd

Aliases

arxiv: 1307.6620 · arxiv_version: 1307.6620v1 · doi: 10.48550/arxiv.1307.6620 · pith_short_12: FZFWH2IDXEN2 · pith_short_16: FZFWH2IDXEN2FSFH · pith_short_8: FZFWH2ID

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/FZFWH2IDXEN2FSFHIO3D47YAEQ \
  | 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: 2e4b63e903b91ba2c8a743b63e7f002437debf516fc5ebc7b06f36e0c08438cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0c5817444ba759903a471a3ba0659b63799feefa6fda70c287458ad3e2cd30f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-25T01:33:13Z",
    "title_canon_sha256": "7821ff9f7cb2e30f9d188fe733df89a734e99f8f055fc3f4f20c24b50e6c956d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6620",
    "kind": "arxiv",
    "version": 1
  }
}