Pith Number

pith:HFNAFLWC

pith:2011:HFNAFLWC4HJLWCIOBQUEU2XK5V

not attested not anchored not stored refs pending

Analysis of Nematic Liquid Crystals with Disclination Lines

D. Phillips, J. Park, P. Bauman

arxiv:1106.5031 v1 · 2011-06-24 · 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{HFNAFLWC4HJLWCIOBQUEU2XK5V}

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	2026-05-18T02:01:30.968711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

395a02aec2e1d2bb090e0c284a6aeaed6fd08e473591c5857cff2e83a1b38962

Aliases

arxiv: 1106.5031 · arxiv_version: 1106.5031v1 · doi: 10.48550/arxiv.1106.5031 · pith_short_12: HFNAFLWC4HJL · pith_short_16: HFNAFLWC4HJLWCIO · pith_short_8: HFNAFLWC

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/HFNAFLWC4HJLWCIOBQUEU2XK5V \
  | 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: 395a02aec2e1d2bb090e0c284a6aeaed6fd08e473591c5857cff2e83a1b38962

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e7bffab109aad741dcf3c3829d692daf68dec35ad0a6ff104fabd6b4d3a7145",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-24T18:15:21Z",
    "title_canon_sha256": "6afc0a2d0fbadbdce2578c3ec0d1e99c6625c8be30d7339f99d3f90abc6981e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5031",
    "kind": "arxiv",
    "version": 1
  }
}