Pith Number

pith:G7SBKQOG

pith:2025:G7SBKQOGXQ75R6JN6YHKWMRF4Y

not attested not anchored not stored refs pending

Perfect diffusion is $\mathsf{TC}^0$ -- Bad diffusion is Turing-complete

Yuxi Liu

arxiv:2507.12469 v1 · 2025-04-20 · cs.CC · cs.CL · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G7SBKQOGXQ75R6JN6YHKWMRF4Y}

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	2026-07-05T11:38:32.453180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37e41541c6bc3fd8f92df60eab3225e639e8088e64c5def08445677d00e27bb7

Aliases

arxiv: 2507.12469 · arxiv_version: 2507.12469v1 · doi: 10.48550/arxiv.2507.12469 · pith_short_12: G7SBKQOGXQ75 · pith_short_16: G7SBKQOGXQ75R6JN · pith_short_8: G7SBKQOG

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/G7SBKQOGXQ75R6JN6YHKWMRF4Y \
  | 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: 37e41541c6bc3fd8f92df60eab3225e639e8088e64c5def08445677d00e27bb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "056d7c96229d255985daab546a9aa99081f2dd880c6c384b32b0319913fe4716",
    "cross_cats_sorted": [
      "cs.CL",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2025-04-20T22:35:53Z",
    "title_canon_sha256": "58477d15ea26c4151017b7aef4c8e30b3f720650697380da208a34a287f7264d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.12469",
    "kind": "arxiv",
    "version": 1
  }
}