Pith Number

pith:27JHK36N

pith:2012:27JHK36NDH5OU3FDGZFQDC65WB

not attested not anchored not stored refs pending

Blowup of Solutions of the Hydrostatic Euler Equations

Tak Kwong Wong

arxiv:1211.0113 v2 · 2012-11-01 · 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{27JHK36NDH5OU3FDGZFQDC65WB}

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	2026-05-18T03:41:21.079171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7d2756fcd19faea6ca3364b018bddb05288a9de9670567a3b046e1023696fc5

Aliases

arxiv: 1211.0113 · arxiv_version: 1211.0113v2 · doi: 10.48550/arxiv.1211.0113 · pith_short_12: 27JHK36NDH5O · pith_short_16: 27JHK36NDH5OU3FD · pith_short_8: 27JHK36N

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/27JHK36NDH5OU3FDGZFQDC65WB \
  | 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: d7d2756fcd19faea6ca3364b018bddb05288a9de9670567a3b046e1023696fc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7148edc9cba18b85347ae6b9ff2cd09c5a4a9048b3b54067d43d02d8e4c29935",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-01T08:01:07Z",
    "title_canon_sha256": "dd952bec9bc75c7a4869e65bf915ec12b90e14469c48af9f79ea94c790844473"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0113",
    "kind": "arxiv",
    "version": 2
  }
}