Pith Number

pith:P7MKB6JQ

pith:2016:P7MKB6JQLMH5R7W2BW5DNRB7TQ

not attested not anchored not stored refs pending

Spatial asymptotic expansions in the incompressible Euler equation

Peter Topalov, R. McOwen

arxiv:1606.08059 v2 · 2016-06-26 · 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{P7MKB6JQLMH5R7W2BW5DNRB7TQ}

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	2026-05-18T01:03:58.635428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fd8a0f9305b0fd8feda0dba36c43f9c03a02bfd75d9e4cb00b6b3c3cda447e5

Aliases

arxiv: 1606.08059 · arxiv_version: 1606.08059v2 · doi: 10.48550/arxiv.1606.08059 · pith_short_12: P7MKB6JQLMH5 · pith_short_16: P7MKB6JQLMH5R7W2 · pith_short_8: P7MKB6JQ

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/P7MKB6JQLMH5R7W2BW5DNRB7TQ \
  | 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: 7fd8a0f9305b0fd8feda0dba36c43f9c03a02bfd75d9e4cb00b6b3c3cda447e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "717d3e96136d0fb26e4d4793fc210cfbda93994a653205cddf26500e0cb6350b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-26T17:34:10Z",
    "title_canon_sha256": "6d439f5242bae77e1c472955e5e848cd9ba5608b0cb8e4a5eb8be63b7bbd17c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08059",
    "kind": "arxiv",
    "version": 2
  }
}