Pith Number

pith:ZKUFBMMN

pith:2012:ZKUFBMMNP2PUYNMTPAONTSXGGV

not attested not anchored not stored refs pending

Dissipative continuous Euler flows

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

arxiv:1202.1751 v1 · 2012-02-08 · 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{ZKUFBMMNP2PUYNMTPAONTSXGGV}

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	2026-05-18T00:39:05.124825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caa850b18d7e9f4c3593781cd9cae6356f5bee3ed1ccb48141154f5ee72a07de

Aliases

arxiv: 1202.1751 · arxiv_version: 1202.1751v1 · doi: 10.48550/arxiv.1202.1751 · pith_short_12: ZKUFBMMNP2PU · pith_short_16: ZKUFBMMNP2PUYNMT · pith_short_8: ZKUFBMMN

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/ZKUFBMMNP2PUYNMTPAONTSXGGV \
  | 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: caa850b18d7e9f4c3593781cd9cae6356f5bee3ed1ccb48141154f5ee72a07de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ece0a10c8411a48dc5e26590bb000c0c545fa64a27ec2201f9c946c82f7a490",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-08T16:08:51Z",
    "title_canon_sha256": "8f07aec8c0fc5dc3e103ce5d6a7de2c2cba6602d0d6f6dd63fd4fc9dc7c657c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1751",
    "kind": "arxiv",
    "version": 1
  }
}