Pith Number

pith:TXYG3Q55

pith:2007:TXYG3Q55F26P6ZKG3W5IM2FQ67

not attested not anchored not stored refs pending

The Euler equations as a differential inclusion

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

arxiv:math/0702079 v3 · 2007-02-05 · 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{TXYG3Q55F26P6ZKG3W5IM2FQ67}

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	2026-05-18T04:22:49.099871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9df06dc3bd2ebcff6546ddba8668b0f7da95e0f63c2112fd2b9ae96b6ef5df90

Aliases

arxiv: math/0702079 · arxiv_version: math/0702079v3 · doi: 10.48550/arxiv.math/0702079 · pith_short_12: TXYG3Q55F26P · pith_short_16: TXYG3Q55F26P6ZKG · pith_short_8: TXYG3Q55

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/TXYG3Q55F26P6ZKG3W5IM2FQ67 \
  | 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: 9df06dc3bd2ebcff6546ddba8668b0f7da95e0f63c2112fd2b9ae96b6ef5df90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7564c50180f3fc8d6dad8e6675277fcd76f45d246e413082037d0ce682bd2265",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-02-05T14:50:29Z",
    "title_canon_sha256": "84eecec606d78277e20c70bb29652ed51f8b80316806b0676355e022119c2090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702079",
    "kind": "arxiv",
    "version": 3
  }
}