Pith Number

pith:3W4FJPX3

pith:2019:3W4FJPX3R2RMWLHOEKD53TVOGA

not attested not anchored not stored refs pending

Thin Film Liquid Crystals with Oblique Anchoring and Boojums

Dmitry Golovaty, Lia Bronsard, Stan Alama

arxiv:1907.04757 v2 · 2019-07-10 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3W4FJPX3R2RMWLHOEKD53TVOGA}

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.

Cited by

1 paper in Pith

A variational method for generating $n$-cross fields using higher-order $Q$-tensors

Receipt and verification

First computed	2026-07-05T00:33:13.757308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddb854befb8ea2cb2cee2287ddceae3022b9a70ecb17d9870aeb16df6a66034e

Aliases

arxiv: 1907.04757 · arxiv_version: 1907.04757v2 · doi: 10.48550/arxiv.1907.04757 · pith_short_12: 3W4FJPX3R2RM · pith_short_16: 3W4FJPX3R2RMWLHO · pith_short_8: 3W4FJPX3

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/3W4FJPX3R2RMWLHOEKD53TVOGA \
  | 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: ddb854befb8ea2cb2cee2287ddceae3022b9a70ecb17d9870aeb16df6a66034e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03b1b566de429663c93d539573d32b5f11b782c4cf7f1af64d94a1cfeab3baa3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-10T14:39:47Z",
    "title_canon_sha256": "3d09c74b882a39dccbfcff35b996aab8e9c6ff2f794cdd10c79264f843beccbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04757",
    "kind": "arxiv",
    "version": 2
  }
}