Pith Number

pith:TI2KXRMK

pith:2013:TI2KXRMKTU3UUXCMHWRVCE4D7K

not attested not anchored not stored refs pending

Global existence of a weak solution of the incompressible Euler equations with helical symmetry and $L^p$ vorticity

Anne C. Bronzi, Helena J. Nussenzveig Lopes, Milton C. Lopes Filho

arxiv:1309.0275 v1 · 2013-09-01 · 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{TI2KXRMKTU3UUXCMHWRVCE4D7K}

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	2026-05-18T03:14:27.675987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a34abc58a9d374a5c4c3da3511383faa6970aa4a59b6fc903689b88200e7676

Aliases

arxiv: 1309.0275 · arxiv_version: 1309.0275v1 · doi: 10.48550/arxiv.1309.0275 · pith_short_12: TI2KXRMKTU3U · pith_short_16: TI2KXRMKTU3UUXCM · pith_short_8: TI2KXRMK

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/TI2KXRMKTU3UUXCMHWRVCE4D7K \
  | 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: 9a34abc58a9d374a5c4c3da3511383faa6970aa4a59b6fc903689b88200e7676

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2b044d48f6abacdf661049f567625693451fcdeff4766647054567c45ee4a36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-01T23:08:28Z",
    "title_canon_sha256": "d4f2843d871e11b19afc81cfae200e21770e61a704929c731e5eb5b34a052269"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0275",
    "kind": "arxiv",
    "version": 1
  }
}