Pith Number

pith:VWGXH3OF

pith:2013:VWGXH3OFUUNMQ2ILD6RJSXB6BG

not attested not anchored not stored refs pending

Global smooth solution to the simplified Ericksen-Leslie system in dimension three

Wenke Tan, Zhaoyang Yin

arxiv:1307.2972 v2 · 2013-07-11 · 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{VWGXH3OFUUNMQ2ILD6RJSXB6BG}

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	2026-05-18T02:31:12.180613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad8d73edc5a51ac8690b1fa2995c3e09a3270e7274815ccc8cc70a9a49fe653d

Aliases

arxiv: 1307.2972 · arxiv_version: 1307.2972v2 · doi: 10.48550/arxiv.1307.2972 · pith_short_12: VWGXH3OFUUNM · pith_short_16: VWGXH3OFUUNMQ2IL · pith_short_8: VWGXH3OF

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/VWGXH3OFUUNMQ2ILD6RJSXB6BG \
  | 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: ad8d73edc5a51ac8690b1fa2995c3e09a3270e7274815ccc8cc70a9a49fe653d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bb532b1a76fd369ca7bc587b4d1ff06a2878814215683ddae4d6d8870f1ce27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-11T04:51:55Z",
    "title_canon_sha256": "ba3909d062a06dfcd520b109a38e3609bd9bd1a9eac8123960ce727c257c7d86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2972",
    "kind": "arxiv",
    "version": 2
  }
}