Pith Number

pith:KKYV4EJQ

pith:2015:KKYV4EJQIUQ2CUM3WWL5RML57E

not attested not anchored not stored refs pending

Knotted structures in high-energy Beltrami fields on the torus and the sphere

Alberto Enciso, Daniel Peralta-Salas, Francisco Torres de Lizaur

arxiv:1505.01605 v2 · 2015-05-07 · math.AP · math.DG · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KKYV4EJQIUQ2CUM3WWL5RML57E}

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	2026-05-18T02:03:44.990388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52b15e11304521a1519bb597d8b17df90511bdf94f6e470f360456250dac846b

Aliases

arxiv: 1505.01605 · arxiv_version: 1505.01605v2 · doi: 10.48550/arxiv.1505.01605 · pith_short_12: KKYV4EJQIUQ2 · pith_short_16: KKYV4EJQIUQ2CUM3 · pith_short_8: KKYV4EJQ

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/KKYV4EJQIUQ2CUM3WWL5RML57E \
  | 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: 52b15e11304521a1519bb597d8b17df90511bdf94f6e470f360456250dac846b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04abe1574138cf9f50b714990046888021b4a1341ecee2d95f897bf0c145a727",
    "cross_cats_sorted": [
      "math.DG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-07T07:23:20Z",
    "title_canon_sha256": "3b599299521e850428e7f4bb5532626f091df8be130dd28f3d5f1d888707fb05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01605",
    "kind": "arxiv",
    "version": 2
  }
}