Pith Number

pith:QGWBQYRA

pith:2026:QGWBQYRALH3FBPVIJR5T2I5JYS

not attested not anchored not stored refs pending

Gram-Space: Structure-Preserving Codebook Compression for Memory-Efficient Neuro-Symbolic AI

Wantong Li, Weilun Wang

arxiv:2608.01528 v1 · 2026-08-02 · 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{QGWBQYRALH3FBPVIJR5T2I5JYS}

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	2026-08-04T02:05:48.613869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81ac18622059f650bea84c7b3d23a9c49bf3e14cff4aa22f22344de526e99623

Aliases

arxiv: 2608.01528 · arxiv_version: 2608.01528v1 · doi: 10.48550/arxiv.2608.01528 · pith_short_12: QGWBQYRALH3F · pith_short_16: QGWBQYRALH3FBPVI · pith_short_8: QGWBQYRA

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/QGWBQYRALH3FBPVIJR5T2I5JYS \
  | 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: 81ac18622059f650bea84c7b3d23a9c49bf3e14cff4aa22f22344de526e99623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b046ebe5961c20eb08074d3c25aca3eb6a40cb5dbf36ed2f6f5556ac7a9a17e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-02T22:37:34Z",
    "title_canon_sha256": "835679917247fc688a5d358d69950a07ad9f63b0e0de787989b4bf0bdfccb6e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01528",
    "kind": "arxiv",
    "version": 1
  }
}