Pith Number

pith:HACIJ3XX

pith:2013:HACIJ3XX4SGVYQCJURTBRQIYXJ

not attested not anchored not stored refs pending

Gravitational Hopfions

Alexander Wickes, Amy Thompson, Dirk Bouwmeester, Jan Willem Dalhuisen, Joe Swearngin

arxiv:1302.1431 v3 · 2013-02-06 · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HACIJ3XX4SGVYQCJURTBRQIYXJ}

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	2026-05-18T02:44:47.899978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

380484eef7e48d5c4049a46618c118ba5d0ae7b28da57511a589dca30d191ab2

Aliases

arxiv: 1302.1431 · arxiv_version: 1302.1431v3 · doi: 10.48550/arxiv.1302.1431 · pith_short_12: HACIJ3XX4SGV · pith_short_16: HACIJ3XX4SGVYQCJ · pith_short_8: HACIJ3XX

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/HACIJ3XX4SGVYQCJURTBRQIYXJ \
  | 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: 380484eef7e48d5c4049a46618c118ba5d0ae7b28da57511a589dca30d191ab2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d8f09ffe6dab5bd954479ac54213db6e8826b50c71e3a445b6b67581a7f00cf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-02-06T16:40:17Z",
    "title_canon_sha256": "326b52030427221fd3e18b0a11a97bb6a24656c973c5afd29135b3ad2994379e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1431",
    "kind": "arxiv",
    "version": 3
  }
}