Pith Number

pith:HXIEXRYX

pith:2006:HXIEXRYXRK3GOLGBCVYZZXKMOV

not attested not anchored not stored refs pending

Well-posedness for the viscous shallow water equations in critical spaces

Changxing Miao, Qionglei Chen, Zhifei Zhang

arxiv:math/0606081 v3 · 2006-06-04 · 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{HXIEXRYXRK3GOLGBCVYZZXKMOV}

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	2026-07-05T01:01:10.472359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dd04bc7178ab6672cc115719cdd4c756ec97db79705d60dca9afe663d1240c0

Aliases

arxiv: math/0606081 · arxiv_version: math/0606081v3 · doi: 10.48550/arxiv.math/0606081 · pith_short_12: HXIEXRYXRK3G · pith_short_16: HXIEXRYXRK3GOLGB · pith_short_8: HXIEXRYX

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/HXIEXRYXRK3GOLGBCVYZZXKMOV \
  | 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: 3dd04bc7178ab6672cc115719cdd4c756ec97db79705d60dca9afe663d1240c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a54268c1badbddfb08ea0744040e6f5fa6655872584aa87b64fb9900c2b07758",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2006-06-04T03:27:24Z",
    "title_canon_sha256": "0fb251daed761cafd74757c42aa1996a7c8cbd1cc41e823c1d0238ea9bc217d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606081",
    "kind": "arxiv",
    "version": 3
  }
}