pith. sign in
Pith Number

pith:4PVU4LDX

pith:2011:4PVU4LDXCFUQISBWGUYD6AH2HN
not attested not anchored not stored refs pending

Equivalent theories of liquid crystal dynamics

Cesare Tronci, Fran\c{c}ois Gay-Balmaz, Tudor S. Ratiu

arxiv:1102.2918 v3 · 2011-02-14 · cond-mat.soft · nlin.CD

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4PVU4LDXCFUQISBWGUYD6AH2HN}

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 2026-05-18T03:08:14.863072Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e3eb4e2c77116904483635303f00fa3b66d50c501260b402152a2ffc9ecbe63c

Aliases

arxiv: 1102.2918 · arxiv_version: 1102.2918v3 · doi: 10.48550/arxiv.1102.2918 · pith_short_12: 4PVU4LDXCFUQ · pith_short_16: 4PVU4LDXCFUQISBW · pith_short_8: 4PVU4LDX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4PVU4LDXCFUQISBWGUYD6AH2HN \
  | 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: e3eb4e2c77116904483635303f00fa3b66d50c501260b402152a2ffc9ecbe63c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bea7c97c23a15eaa56944c8df690c67418cbae886a1dd4fea4a377a5032b6327",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2011-02-14T22:29:57Z",
    "title_canon_sha256": "cc720c71cbeb47f77e2e5b4587606902ab21783d56bda196c39e7ca39be59f74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2918",
    "kind": "arxiv",
    "version": 3
  }
}