Pith Number

pith:CZ5PCJYN

pith:2018:CZ5PCJYNTYZCXAOHWHE5WDUOQJ

not attested not anchored not stored refs pending

Blow up and global existence for the periodic Phan-Thein-Tanner model

Wei Luo, Yuhui Chen, Zheng-an Yao

arxiv:1811.07462 v2 · 2018-11-19 · 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{CZ5PCJYNTYZCXAOHWHE5WDUOQJ}

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	2026-05-17T23:57:21.189861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

167af1270d9e322b81c7b1c9db0e8e8245f60179e2d692e2065de75e75e7c78e

Aliases

arxiv: 1811.07462 · arxiv_version: 1811.07462v2 · doi: 10.48550/arxiv.1811.07462 · pith_short_12: CZ5PCJYNTYZC · pith_short_16: CZ5PCJYNTYZCXAOH · pith_short_8: CZ5PCJYN

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/CZ5PCJYNTYZCXAOHWHE5WDUOQJ \
  | 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: 167af1270d9e322b81c7b1c9db0e8e8245f60179e2d692e2065de75e75e7c78e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54617a31fec521f31b7af0b8a5542257988f00e472096c41de2b75b68a73c5aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-19T02:20:49Z",
    "title_canon_sha256": "bea43ae4a7223a9f40fe66dbd58456f34bdc8b3c17cca53ecee49ff7c79884f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07462",
    "kind": "arxiv",
    "version": 2
  }
}