Pith Number

pith:E7IXBUF4

pith:2014:E7IXBUF4USYF2EASKRTW5YXNO2

not attested not anchored not stored refs pending

Lagrangian flows for vector fields with anisotropic regularity

Anna Bohun, Francois Bouchut, Gianluca Crippa

arxiv:1412.2513 v1 · 2014-12-08 · 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{E7IXBUF4USYF2EASKRTW5YXNO2}

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	2026-05-18T02:31:57.714071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27d170d0bca4b05d101254676ee2ed76a57e903ff9fa8c65cc009a6ef598cc82

Aliases

arxiv: 1412.2513 · arxiv_version: 1412.2513v1 · doi: 10.48550/arxiv.1412.2513 · pith_short_12: E7IXBUF4USYF · pith_short_16: E7IXBUF4USYF2EAS · pith_short_8: E7IXBUF4

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/E7IXBUF4USYF2EASKRTW5YXNO2 \
  | 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: 27d170d0bca4b05d101254676ee2ed76a57e903ff9fa8c65cc009a6ef598cc82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fff012cfc6e5fc54230ab9e5552992cb2424a39d3d11345c63b3d2c434e5142e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-08T11:01:07Z",
    "title_canon_sha256": "6829e72e04c1bc7977930cff93a5ce8c5ecf274f56a01c46312b158336169b88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2513",
    "kind": "arxiv",
    "version": 1
  }
}