Pith Number

pith:FQJCAHL2

pith:2012:FQJCAHL2QYJ4AZYRFKQTMPWGQG

not attested not anchored not stored refs pending

On a class of singular solutions to the incompressible 3-D Euler equation

Joerg Kampen

arxiv:1209.6250 v2 · 2012-09-27 · 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{FQJCAHL2QYJ4AZYRFKQTMPWGQG}

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	2026-05-18T03:44:14.979482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c12201d7a8613c067112aa1363ec681ae4a43c57a20a4e166678e5002dd47a4

Aliases

arxiv: 1209.6250 · arxiv_version: 1209.6250v2 · doi: 10.48550/arxiv.1209.6250 · pith_short_12: FQJCAHL2QYJ4 · pith_short_16: FQJCAHL2QYJ4AZYR · pith_short_8: FQJCAHL2

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/FQJCAHL2QYJ4AZYRFKQTMPWGQG \
  | 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: 2c12201d7a8613c067112aa1363ec681ae4a43c57a20a4e166678e5002dd47a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cc86f68a5d8756df81c97bb6b56abf67ebafe5e0de4030aa8e072a2df8af59e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-27T14:52:55Z",
    "title_canon_sha256": "33b07d1f5ea64abf5469d3029be22d76e38375e0111ebdbb8f6b4e508d9e8076"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6250",
    "kind": "arxiv",
    "version": 2
  }
}