Pith Number

pith:PXVIRHX2

pith:2010:PXVIRHX2OARLABCURSAZPFRV35

not attested not anchored not stored refs pending

Global existence of solutions of the Liquid Crystal flow for the Oseen-Frank model

Min-Chun Hong, Zhouping Xin

arxiv:1010.4083 v1 · 2010-10-20 · 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{PXVIRHX2OARLABCURSAZPFRV35}

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	2026-05-18T04:38:59.840278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dea889efa7022b004548c81979635df78e8736251e9e3b7ffacede24df9c504

Aliases

arxiv: 1010.4083 · arxiv_version: 1010.4083v1 · doi: 10.48550/arxiv.1010.4083 · pith_short_12: PXVIRHX2OARL · pith_short_16: PXVIRHX2OARLABCU · pith_short_8: PXVIRHX2

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/PXVIRHX2OARLABCURSAZPFRV35 \
  | 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: 7dea889efa7022b004548c81979635df78e8736251e9e3b7ffacede24df9c504

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d88e997e65b974324f7b5985530a8bdae5c4430cb09d02a5833bd7102795a029",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-20T01:45:47Z",
    "title_canon_sha256": "3e0dd8460a1c3145dcc52a70adc591930f414ac6068f9bea3087f5df4d89d69f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4083",
    "kind": "arxiv",
    "version": 1
  }
}