Pith Number

pith:76PN5FJX

pith:2013:76PN5FJXURTEGMQC6IV2MUY5CU

not attested not anchored not stored refs pending

Biaxiality in the asymptotic analysis of a 2-D Landau-de Gennes model for liquid crystals

Giacomo Canevari

arxiv:1307.8065 v2 · 2013-07-30 · 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{76PN5FJXURTEGMQC6IV2MUY5CU}

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	2026-05-18T03:02:59.288916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff9ede9537a466433202f22ba6531d15100f672f7e7b2904aa338efeb6314700

Aliases

arxiv: 1307.8065 · arxiv_version: 1307.8065v2 · doi: 10.48550/arxiv.1307.8065 · pith_short_12: 76PN5FJXURTE · pith_short_16: 76PN5FJXURTEGMQC · pith_short_8: 76PN5FJX

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/76PN5FJXURTEGMQC6IV2MUY5CU \
  | 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: ff9ede9537a466433202f22ba6531d15100f672f7e7b2904aa338efeb6314700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d38b22cb54ae58aaa43a5b4372e6040737380591f7e6f48c3f51561c154e7575",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-30T17:46:07Z",
    "title_canon_sha256": "cad5137328f9f50e4430c98fb9f4ada0ce7a31806838ab1ee0d8aa6d49536a9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8065",
    "kind": "arxiv",
    "version": 2
  }
}