Pith Number

pith:WKBK3LGO

pith:2011:WKBK3LGONBXTR6GVAW2HCDTKEZ

not attested not anchored not stored refs pending

The helical phase of chiral nematic liquid crystals as the Bianchi VII(0) group manifold

C. M. Warnick, G. W. Gibbons

arxiv:1106.2423 v2 · 2011-06-13 · gr-qc · cond-mat.soft · math-ph · math.MP · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WKBK3LGONBXTR6GVAW2HCDTKEZ}

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	2026-05-18T03:23:24.324561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b282adacce686f38f8d505b4710e6a264a82148720e76ccf523540160e3a0eee

Aliases

arxiv: 1106.2423 · arxiv_version: 1106.2423v2 · doi: 10.48550/arxiv.1106.2423 · pith_short_12: WKBK3LGONBXT · pith_short_16: WKBK3LGONBXTR6GV · pith_short_8: WKBK3LGO

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/WKBK3LGONBXTR6GVAW2HCDTKEZ \
  | 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: b282adacce686f38f8d505b4710e6a264a82148720e76ccf523540160e3a0eee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae23d3be097b9be1623c0650404b9856181bcef5b39c124d26e3b23f7db98d49",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "math-ph",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-06-13T12:05:13Z",
    "title_canon_sha256": "c1eefc4fbc2db7b6c36e34b0b75754316928e19a888868f83645a50f55c61cb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2423",
    "kind": "arxiv",
    "version": 2
  }
}