Pith Number

pith:MLX3R7NH

pith:2025:MLX3R7NHJ4ESY7ZY34BEWDGYHG

not attested not anchored not stored refs pending

Flows with minimal subdynamics

Anton Bernshteyn, Joshua Frisch

arxiv:2509.03139 v2 · 2025-09-03 · math.DS · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MLX3R7NHJ4ESY7ZY34BEWDGYHG}

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	2026-07-05T12:11:20.414752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62efb8fda74f092c7f38df024b0cd8399062a267bfc2dda6f2edfb1370805ddf

Aliases

arxiv: 2509.03139 · arxiv_version: 2509.03139v2 · doi: 10.48550/arxiv.2509.03139 · pith_short_12: MLX3R7NHJ4ES · pith_short_16: MLX3R7NHJ4ESY7ZY · pith_short_8: MLX3R7NH

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/MLX3R7NHJ4ESY7ZY34BEWDGYHG \
  | 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: 62efb8fda74f092c7f38df024b0cd8399062a267bfc2dda6f2edfb1370805ddf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7f46ab21e98461808dba4f52aaea599975a645ad9918be83ac0a3ba7d6012da",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-09-03T08:49:32Z",
    "title_canon_sha256": "928a8b83441c7599e10b39788c9f380ecdb37e106397c533ffacda906d17824f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03139",
    "kind": "arxiv",
    "version": 2
  }
}