Pith Number

pith:EXM4S6CY

pith:2017:EXM4S6CY2S7VGDO2OQ4U4ZZQDA

not attested not anchored not stored refs pending

Energy concentrations and Type I blow-up for the 3D Euler equations

Dongho Chae, Joerg Wolf

arxiv:1706.02020 v2 · 2017-06-07 · 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{EXM4S6CY2S7VGDO2OQ4U4ZZQDA}

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	2026-05-18T00:15:37.621103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25d9c97858d4bf530dda74394e6730180974b5c30053fd6d3fb980c2a42116c6

Aliases

arxiv: 1706.02020 · arxiv_version: 1706.02020v2 · doi: 10.48550/arxiv.1706.02020 · pith_short_12: EXM4S6CY2S7V · pith_short_16: EXM4S6CY2S7VGDO2 · pith_short_8: EXM4S6CY

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/EXM4S6CY2S7VGDO2OQ4U4ZZQDA \
  | 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: 25d9c97858d4bf530dda74394e6730180974b5c30053fd6d3fb980c2a42116c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dc8541a48d1a09336de71d52fd24c48cfc334ce4d6b07151036982d3cd4fa97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-07T01:43:45Z",
    "title_canon_sha256": "0346dbba09042d36c5d4403311c5806053754a683280534cd38cbf6bf25e64cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02020",
    "kind": "arxiv",
    "version": 2
  }
}