Pith Number

pith:25TIPNVL

pith:2016:25TIPNVLV6IPRD52FR3FQY6N5K

not attested not anchored not stored refs pending

Optimal initial condition of passive tracers for their maximal mixing in finite time

Mohammad Farazmand

arxiv:1604.01794 v2 · 2016-04-05 · physics.flu-dyn · math.DS · math.OC · physics.comp-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{25TIPNVLV6IPRD52FR3FQY6N5K}

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	2026-05-18T00:44:47.718368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d76687b6abaf90f88fba2c765863cdea844064f919aeed12d728a8206616c499

Aliases

arxiv: 1604.01794 · arxiv_version: 1604.01794v2 · doi: 10.48550/arxiv.1604.01794 · pith_short_12: 25TIPNVLV6IP · pith_short_16: 25TIPNVLV6IPRD52 · pith_short_8: 25TIPNVL

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/25TIPNVLV6IPRD52FR3FQY6N5K \
  | 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: d76687b6abaf90f88fba2c765863cdea844064f919aeed12d728a8206616c499

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "659decbf163f5d76947fbe1c47cb93604d76c7dfe0757a60e5b8045d2d02f66b",
    "cross_cats_sorted": [
      "math.DS",
      "math.OC",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2016-04-05T02:19:33Z",
    "title_canon_sha256": "dce72de93b5d32aaae9e60c569f0c360e214cacd3607518b6f0ba7a02b4a66bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01794",
    "kind": "arxiv",
    "version": 2
  }
}