Pith Number

pith:MI24TB6H

pith:2011:MI24TB6H6OCWFBD4BYFXGWSS66

not attested not anchored not stored refs pending

Energy and volume of vector fields on spherical domains

Andr\'e Gomes, Fabiano G. B. Brito, Giovanni S. Nunes

arxiv:1101.5259 v1 · 2011-01-27 · 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{MI24TB6H6OCWFBD4BYFXGWSS66}

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	2026-05-18T04:30:35.823264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6235c987c7f38562847c0e0b735a52f78953375c7a2b5342ec7e3eed6b516e41

Aliases

arxiv: 1101.5259 · arxiv_version: 1101.5259v1 · doi: 10.48550/arxiv.1101.5259 · pith_short_12: MI24TB6H6OCW · pith_short_16: MI24TB6H6OCWFBD4 · pith_short_8: MI24TB6H

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/MI24TB6H6OCWFBD4BYFXGWSS66 \
  | 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: 6235c987c7f38562847c0e0b735a52f78953375c7a2b5342ec7e3eed6b516e41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bf36141577b482e261680d744556d3d8c5e67b97fa4115600593110f8f7f21e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-01-27T11:35:35Z",
    "title_canon_sha256": "b53e31707a5c4a2c6b4e755c67e4cfa16287e66f465f86f2ecdda7c4717e623f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5259",
    "kind": "arxiv",
    "version": 1
  }
}