Pith Number

pith:TMZR7KLK

pith:2012:TMZR7KLKXDXEVU2NXKRB3YH7ED

not attested not anchored not stored refs pending

Trajectory attractors for the Sun-Liu model for nematic liquid crystals in 3D

Elisabetta Rocca, Sergio Frigeri

arxiv:1205.2534 v1 · 2012-05-11 · 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{TMZR7KLKXDXEVU2NXKRB3YH7ED}

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	2026-05-18T01:57:33.288292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b331fa96ab8ee4ad34dbaa21de0ff20fdd329b6bccbeb1d85e7aec27d5fa243

Aliases

arxiv: 1205.2534 · arxiv_version: 1205.2534v1 · doi: 10.48550/arxiv.1205.2534 · pith_short_12: TMZR7KLKXDXE · pith_short_16: TMZR7KLKXDXEVU2N · pith_short_8: TMZR7KLK

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/TMZR7KLKXDXEVU2NXKRB3YH7ED \
  | 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: 9b331fa96ab8ee4ad34dbaa21de0ff20fdd329b6bccbeb1d85e7aec27d5fa243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29402f9942bfaab338167415eec21caf5a6a83b5feda01334f46286a71ca0556",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-11T14:19:50Z",
    "title_canon_sha256": "91909bd06cdd79c75c5112057db6e74a816898668da09d2415dead29c76a47ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2534",
    "kind": "arxiv",
    "version": 1
  }
}