Pith Number

pith:SUT5YQOG

pith:2007:SUT5YQOGRAGHRM3EKOD2OTGXJZ

not attested not anchored not stored refs pending

On admissibility criteria for weak solutions of the Euler equations

Camillo De Lellis, L\'aszl\'o Sz\'ekelyhidi Jr

arxiv:0712.3288 v2 · 2007-12-19 · 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{SUT5YQOGRAGHRM3EKOD2OTGXJZ}

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	2026-05-18T02:16:02.594529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9527dc41c6880c78b3645387a74cd74e49130d2f8a3338d4159bfdcec3315811

Aliases

arxiv: 0712.3288 · arxiv_version: 0712.3288v2 · doi: 10.48550/arxiv.0712.3288 · pith_short_12: SUT5YQOGRAGH · pith_short_16: SUT5YQOGRAGHRM3E · pith_short_8: SUT5YQOG

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/SUT5YQOGRAGHRM3EKOD2OTGXJZ \
  | 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: 9527dc41c6880c78b3645387a74cd74e49130d2f8a3338d4159bfdcec3315811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "774a5f0308dfc87bc884a8d70772beee20faead6c1275b667ed9adacbc902386",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2007-12-19T21:13:07Z",
    "title_canon_sha256": "5d53e0f16ad7fe55ee5922f010b79a4faead1599baac5ac27ae95bc8b25fd29f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3288",
    "kind": "arxiv",
    "version": 2
  }
}