Pith Number

pith:ZCAJJ5GI

pith:2012:ZCAJJ5GIKT5VBTH2KPG5ILV5RC

not attested not anchored not stored refs pending

On the global well-posedness for the Boussinesq system with horizontal dissipation

Changxing Miao, Xiaoxin Zheng

arxiv:1203.1372 v1 · 2012-03-07 · 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{ZCAJJ5GIKT5VBTH2KPG5ILV5RC}

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	2026-05-18T03:21:33.743867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c88094f4c854fb50ccfa53cdd42ebd88b1972c6303ab57c795ee6ad15352b84f

Aliases

arxiv: 1203.1372 · arxiv_version: 1203.1372v1 · doi: 10.48550/arxiv.1203.1372 · pith_short_12: ZCAJJ5GIKT5V · pith_short_16: ZCAJJ5GIKT5VBTH2 · pith_short_8: ZCAJJ5GI

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/ZCAJJ5GIKT5VBTH2KPG5ILV5RC \
  | 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: c88094f4c854fb50ccfa53cdd42ebd88b1972c6303ab57c795ee6ad15352b84f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ba7bdcaf8d80709fe70a3a628253eda85dbe84ef3730cb20f5a6f19866d5e29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-07T03:23:01Z",
    "title_canon_sha256": "de36480eb2b66b598575353a607ac61a61db4ec2543d79c778275c60b9154086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1372",
    "kind": "arxiv",
    "version": 1
  }
}