Pith Number

pith:CX4BHLPB

pith:2026:CX4BHLPB4TQ3WRKEVWUMLKJ6WB

not attested not anchored not stored refs pending

Repeated Shared Access Enables Grokking, but Edit Propagation Depends on a Fine-Grained Addressable Memory

Yanan Niu

arxiv:2606.20737 v1 · 2026-06-17 · cs.AI · 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{CX4BHLPB4TQ3WRKEVWUMLKJ6WB}

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	2026-06-23T00:11:55.170370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15f813ade1e4e1bb4544ada8c5a93eb07b16b2dbd9ecc5e12d1ee764d54f96d0

Aliases

arxiv: 2606.20737 · arxiv_version: 2606.20737v1 · doi: 10.48550/arxiv.2606.20737 · pith_short_12: CX4BHLPB4TQ3 · pith_short_16: CX4BHLPB4TQ3WRKE · pith_short_8: CX4BHLPB

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/CX4BHLPB4TQ3WRKEVWUMLKJ6WB \
  | 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: 15f813ade1e4e1bb4544ada8c5a93eb07b16b2dbd9ecc5e12d1ee764d54f96d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69b4863c0cdd290acc34687879d891579ae6ed9a941199c036b70c960f2cc35a",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-06-17T15:52:08Z",
    "title_canon_sha256": "8c84f555dfc008c49a020ceccd309635f559584c25146b3a0ce8f540cd9add57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20737",
    "kind": "arxiv",
    "version": 1
  }
}