Pith Number

pith:J7S5SP6V

pith:2026:J7S5SP6VNRC5OXU6AE4NLFHFBV

not attested not anchored not stored refs pending

The Euler Ensemble as a Turbulent Attractor: Parity Sectors, Zero Modes, and a Zeta Edge

Alexander Migdal

arxiv:2607.05745 v1 · 2026-07-07 · nlin.CD · math.NT · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7S5SP6VNRC5OXU6AE4NLFHFBV}

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	2026-07-08T01:18:43.669877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fe5d93fd56c45d75e9e0138d594e50d5a1a5c632a10e82225d0f026dec13fe6

Aliases

arxiv: 2607.05745 · arxiv_version: 2607.05745v1 · doi: 10.48550/arxiv.2607.05745 · pith_short_12: J7S5SP6VNRC5 · pith_short_16: J7S5SP6VNRC5OXU6 · pith_short_8: J7S5SP6V

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/J7S5SP6VNRC5OXU6AE4NLFHFBV \
  | 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: 4fe5d93fd56c45d75e9e0138d594e50d5a1a5c632a10e82225d0f026dec13fe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59344b63bbfe83e66e3bc1aca5f9dbc8334e348566c12a90a87a60dcc55d3ca4",
    "cross_cats_sorted": [
      "math.NT",
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2026-07-07T02:02:54Z",
    "title_canon_sha256": "89e9a3eb6b727c5d74b2bc8b20d8abcf11ddbef7540cb247e977715dd5b6d922"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05745",
    "kind": "arxiv",
    "version": 1
  }
}