Pith Number

pith:TQA4F5OT

pith:2022:TQA4F5OT4YB6QJOWN3ZJUQMIT4

not attested not anchored not stored refs pending

Convergence to line and surface energies in nematic liquid crystal colloids with external magnetic field

Antonin Chambolle, Dominik Stantejsky, Fran\c{c}ois Alouges

arxiv:2202.10703 v3 · 2022-02-22 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQA4F5OT4YB6QJOWN3ZJUQMIT4}

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	2026-07-05T08:03:04.633192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c01c2f5d3e603e825d66ef29a41889f37f73b99de72e3cb13dba827cb4c02fe

Aliases

arxiv: 2202.10703 · arxiv_version: 2202.10703v3 · doi: 10.48550/arxiv.2202.10703 · pith_short_12: TQA4F5OT4YB6 · pith_short_16: TQA4F5OT4YB6QJOW · pith_short_8: TQA4F5OT

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/TQA4F5OT4YB6QJOWN3ZJUQMIT4 \
  | 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: 9c01c2f5d3e603e825d66ef29a41889f37f73b99de72e3cb13dba827cb4c02fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a57635cecf87151d6e369de19a35bbca3a3bdacaec5900e0e57cc217adca8f28",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-02-22T07:22:55Z",
    "title_canon_sha256": "46754b77d165cf21b0308b0fad354c56a04e2409b8fd05e0588dfa3fc2c1b988"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.10703",
    "kind": "arxiv",
    "version": 3
  }
}