Pith Number

pith:LSTG5PBI

pith:2016:LSTG5PBIF5TA424WKAQM2NOEJZ

not attested not anchored not stored refs pending

Existence of Surface Smectic States of Liquid Crystals

Ayman Kachmar, S\'o ren Fournais, Xing-Bin Pan

arxiv:1602.06241 v1 · 2016-02-19 · 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{LSTG5PBIF5TA424WKAQM2NOEJZ}

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	2026-05-18T01:20:18.321140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ca66ebc282f660e6b965020cd35c44e768de994013bfff2b99b1df2be3d4fc4

Aliases

arxiv: 1602.06241 · arxiv_version: 1602.06241v1 · doi: 10.48550/arxiv.1602.06241 · pith_short_12: LSTG5PBIF5TA · pith_short_16: LSTG5PBIF5TA424W · pith_short_8: LSTG5PBI

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/LSTG5PBIF5TA424WKAQM2NOEJZ \
  | 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: 5ca66ebc282f660e6b965020cd35c44e768de994013bfff2b99b1df2be3d4fc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5189df00696362eeab1318060af62741b24b07151b894449c02a901240a2642b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-02-19T18:09:35Z",
    "title_canon_sha256": "d654dd0444c942a89178fdc4cb0bd7879fa504064837bdb749dd7b802909aac7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06241",
    "kind": "arxiv",
    "version": 1
  }
}