Pith Number

pith:GG4GKLCG

pith:2007:GG4GKLCGOB27ZNAOTXERYDJGEV

not attested not anchored not stored refs pending

Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations

Chiun-Chuan Chen, Horng-Tzer Yau, Robert M. Strain, Tai-Peng Tsai

arxiv:math/0701796 v1 · 2007-01-27 · 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{GG4GKLCGOB27ZNAOTXERYDJGEV}

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	2026-07-04T17:24:32.267375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31b8652c467075fcb40e9dc91c0d26257d97a3996f76a2245888d547997c6fd8

Aliases

arxiv: math/0701796 · arxiv_version: math/0701796v1 · doi: 10.48550/arxiv.math/0701796 · pith_short_12: GG4GKLCGOB27 · pith_short_16: GG4GKLCGOB27ZNAO · pith_short_8: GG4GKLCG

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/GG4GKLCGOB27ZNAOTXERYDJGEV \
  | 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: 31b8652c467075fcb40e9dc91c0d26257d97a3996f76a2245888d547997c6fd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "123dca31775c51f547c43aeca33eafb9591f080c2a322892f9d92e64c4bb5c26",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-01-27T19:55:00Z",
    "title_canon_sha256": "8ce69f09fb04d93e6b39d4b9272ebfc6db7ea9c95da5bac7b2df16cd85c4aac4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701796",
    "kind": "arxiv",
    "version": 1
  }
}