Pith Number

pith:2XZQ56TH

pith:2015:2XZQ56THKHBGARD5EKBEBNKXAI

not attested not anchored not stored refs pending

Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations

Igor Kukavica, Peter Constantin, Vlad Vicol

arxiv:1504.00727 v2 · 2015-04-03 · 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{2XZQ56THKHBGARD5EKBEBNKXAI}

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	2026-05-18T00:54:41.690721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5f30efa6751c260447d228240b557022871a3e0f968eebad09af059324ae458

Aliases

arxiv: 1504.00727 · arxiv_version: 1504.00727v2 · doi: 10.48550/arxiv.1504.00727 · pith_short_12: 2XZQ56THKHBG · pith_short_16: 2XZQ56THKHBGARD5 · pith_short_8: 2XZQ56TH

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/2XZQ56THKHBGARD5EKBEBNKXAI \
  | 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: d5f30efa6751c260447d228240b557022871a3e0f968eebad09af059324ae458

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca4aff17d72e8747a6ccc3b45bb9eceb9f813f267a10a7afdb3a13d204a92469",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-03T02:25:21Z",
    "title_canon_sha256": "941a927f087370fafe55eb88a549819416fae53207f5750e7a5a681d2cd0d223"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00727",
    "kind": "arxiv",
    "version": 2
  }
}