Pith Number

pith:TNO7KIC6

pith:2025:TNO7KIC62SMJ32TOKUJ53QZMAG

not attested not anchored not stored refs pending

Exponentially mixing flows with slow enhanced dissipation

Gautam Iyer, Keefer Rowan, Seungjae Son, William Cooperman

arxiv:2507.21305 v2 · 2025-07-28 · math.PR · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNO7KIC62SMJ32TOKUJ53QZMAG}

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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.

Cited by

1 paper in Pith

Superexponential dissipation enhancement on $\mathbb{T}^d$

Receipt and verification

First computed	2026-07-05T11:45:38.756327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b5df5205ed4989dea6e5513ddc32c01930c70ea70254b8e2d3e2e26c94ab0f4

Aliases

arxiv: 2507.21305 · arxiv_version: 2507.21305v2 · doi: 10.48550/arxiv.2507.21305 · pith_short_12: TNO7KIC62SMJ · pith_short_16: TNO7KIC62SMJ32TO · pith_short_8: TNO7KIC6

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/TNO7KIC62SMJ32TOKUJ53QZMAG \
  | 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: 9b5df5205ed4989dea6e5513ddc32c01930c70ea70254b8e2d3e2e26c94ab0f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb1db3a95a24913d2d3a636092799b80b9ab710482a0e4107b5518bc2864ecf7",
    "cross_cats_sorted": [
      "math.AP",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-28T19:50:22Z",
    "title_canon_sha256": "d07b25506e176d11f1e9f733ea5e942b930f0d5142fc1cbb32575c99c6c0741a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.21305",
    "kind": "arxiv",
    "version": 2
  }
}