Pith Number

pith:XDXWOM53

pith:2025:XDXWOM53FYSMZD3NV3MR2NEFJK

not attested not anchored not stored refs pending

Fractal Language Modelling by Universal Sequence Maps (USM)

Aaron Ge, Arlindo Oliveira, Daniel E Russ, Ines Duarte, Jeya Balaji Balasubramanian, Jonas S Almeida, Lee Mason, Praphulla Bhawsar, Susana Vinga

arxiv:2508.06641 v1 · 2025-08-08 · cs.LG · cs.AI · cs.NA · math.NA · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XDXWOM53FYSMZD3NV3MR2NEFJK}

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	2026-07-05T11:51:04.128623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8ef6733bb2e24cc8f6daed91d34854aa05a917a88a08613a503b44cec6618a8

Aliases

arxiv: 2508.06641 · arxiv_version: 2508.06641v1 · doi: 10.48550/arxiv.2508.06641 · pith_short_12: XDXWOM53FYSM · pith_short_16: XDXWOM53FYSMZD3N · pith_short_8: XDXWOM53

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/XDXWOM53FYSMZD3NV3MR2NEFJK \
  | 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: b8ef6733bb2e24cc8f6daed91d34854aa05a917a88a08613a503b44cec6618a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5670cef51156b640d6e3cf0048ec0f05d4d94e02a63bf95c3eb7a4e86c7f3812",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NA",
      "math.NA",
      "q-bio.QM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-08-08T18:41:13Z",
    "title_canon_sha256": "88a17eb94c5bfb32789da2453df4734f9ab4cbadcdc60ef70b3d6e04650d14bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.06641",
    "kind": "arxiv",
    "version": 1
  }
}