Pith Number

pith:Q3KBCR4G

pith:2026:Q3KBCR4G3VGTDSAOUFL5R74ZSU

not attested not anchored not stored refs pending

Semigroup Consistency as a Diagnostic for Learned Physics Simulators

Lennon J. Shikhman

arxiv:2605.26324 v1 · 2026-05-25 · cs.LG · cs.AI · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3KBCR4G3VGTDSAOUFL5R74ZSU}

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	2026-05-27T01:05:12.059597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86d4114786dd4d31c80ea157d8ff999500eac8a5b44e497db645ae6d510f98df

Aliases

arxiv: 2605.26324 · arxiv_version: 2605.26324v1 · doi: 10.48550/arxiv.2605.26324 · pith_short_12: Q3KBCR4G3VGT · pith_short_16: Q3KBCR4G3VGTDSAO · pith_short_8: Q3KBCR4G

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/Q3KBCR4G3VGTDSAOUFL5R74ZSU \
  | 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: 86d4114786dd4d31c80ea157d8ff999500eac8a5b44e497db645ae6d510f98df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bfaa19a829e4da1137500fa0189959ae62f532e87dab7b88b047ccb6cc32e0e",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-25T21:00:29Z",
    "title_canon_sha256": "201ba59f5e6e5a0f087d7a787c037a33266fd70b07a4d29e47eeebb59c762fff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26324",
    "kind": "arxiv",
    "version": 1
  }
}