Pith Number

pith:ZRAZSVQC

pith:2013:ZRAZSVQCVZMMGDVHSU2DN6HNS5

not attested not anchored not stored refs pending

Liquid Crystal Equations with Infinite Energy Local Well-posedness and Blow Up Criterion

Jinkai Li

arxiv:1309.0072 v1 · 2013-08-31 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZRAZSVQCVZMMGDVHSU2DN6HNS5}

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	2026-05-18T03:14:28.946661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc41995602ae58c30ea7953436f8ed976716dcbe2da3d29193ffbbd2f7af7f14

Aliases

arxiv: 1309.0072 · arxiv_version: 1309.0072v1 · doi: 10.48550/arxiv.1309.0072 · pith_short_12: ZRAZSVQCVZMM · pith_short_16: ZRAZSVQCVZMMGDVH · pith_short_8: ZRAZSVQC

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/ZRAZSVQCVZMMGDVHSU2DN6HNS5 \
  | 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: cc41995602ae58c30ea7953436f8ed976716dcbe2da3d29193ffbbd2f7af7f14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2136e7a33605745f4ee10d8ba97148afb55b6597abb24f2ca38f8505eddd086",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-31T08:12:47Z",
    "title_canon_sha256": "3d069c9e9761aa8834218e3e6f629468fce832d4c670b17cd408bf07816513ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0072",
    "kind": "arxiv",
    "version": 1
  }
}