Pith Number

pith:PB2EGG5D

pith:2014:PB2EGG5D73427PUKUY7YNCGFJL

not attested not anchored not stored refs pending

Renormalized solutions of the 2d Euler equations

Gianluca Crippa, Stefano Spirito

arxiv:1410.3309 v1 · 2014-10-13 · 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{PB2EGG5D73427PUKUY7YNCGFJL}

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	2026-05-18T02:40:11.588389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7874431ba3fef9afbe8aa63f8688c54ae02b44eb18f1e011f92aaa20b4116074

Aliases

arxiv: 1410.3309 · arxiv_version: 1410.3309v1 · doi: 10.48550/arxiv.1410.3309 · pith_short_12: PB2EGG5D7342 · pith_short_16: PB2EGG5D73427PUK · pith_short_8: PB2EGG5D

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/PB2EGG5D73427PUKUY7YNCGFJL \
  | 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: 7874431ba3fef9afbe8aa63f8688c54ae02b44eb18f1e011f92aaa20b4116074

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29a916b77f2db057c932269f642170760220f9c13411e86b09dc1ea8a6d313ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-13T13:50:14Z",
    "title_canon_sha256": "f3df76695cf02868722f60580f38272cdf82c601cfa00611756ad3b840142354"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3309",
    "kind": "arxiv",
    "version": 1
  }
}