Pith Number

pith:5C6RVRO3

pith:2013:5C6RVRO33RYDHHQOFF3PIFNOL7

not attested not anchored not stored refs pending

Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows

Alexander Kiselev, Gautam Iyer, Xiaoqian Xu

arxiv:1310.2986 v3 · 2013-10-10 · 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{5C6RVRO33RYDHHQOFF3PIFNOL7}

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	2026-05-18T01:04:58.215422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8bd1ac5dbdc70339e0e2976f415ae5ff9598a2073206739b35225fe190e7926

Aliases

arxiv: 1310.2986 · arxiv_version: 1310.2986v3 · doi: 10.48550/arxiv.1310.2986 · pith_short_12: 5C6RVRO33RYD · pith_short_16: 5C6RVRO33RYDHHQO · pith_short_8: 5C6RVRO3

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/5C6RVRO33RYDHHQOFF3PIFNOL7 \
  | 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: e8bd1ac5dbdc70339e0e2976f415ae5ff9598a2073206739b35225fe190e7926

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beaa7fb4c83ab90787bfbc6d4d7af0b5fb196f2e16bac4e692da7646e98259af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-10T23:47:53Z",
    "title_canon_sha256": "1aeffff00200c8034f314f244173722e7390458a50a8b2d35d1ce8e69e6c8910"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2986",
    "kind": "arxiv",
    "version": 3
  }
}