Pith Number

pith:2R326XCG

pith:2026:2R326XCGD57XWBYBFTAKVUSSBL

not attested not anchored not stored refs pending

Structure Before Collapse: Transient semantic geometry in next-token prediction

Christos Thrampoulidis, Isabel Papadimitriou, Yize Zhao

arxiv:2606.26749 v1 · 2026-06-25 · cs.LG · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2R326XCGD57XWBYBFTAKVUSSBL}

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	2026-06-26T01:15:58.695385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d477af5c461f7f7b07012cc0aad2520acee46d2fcbeb780ab61b0d1140916dfe

Aliases

arxiv: 2606.26749 · arxiv_version: 2606.26749v1 · doi: 10.48550/arxiv.2606.26749 · pith_short_12: 2R326XCGD57X · pith_short_16: 2R326XCGD57XWBYB · pith_short_8: 2R326XCG

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/2R326XCGD57XWBYBFTAKVUSSBL \
  | 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: d477af5c461f7f7b07012cc0aad2520acee46d2fcbeb780ab61b0d1140916dfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1730a138a0e44eaf6984cacb50266856b2962d5e676eab05c328e2bc76776fee",
    "cross_cats_sorted": [
      "cs.CL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-25T08:33:34Z",
    "title_canon_sha256": "4d9a238edcaf3093781ff37aef48398d9d3c0ca77d4ca90b680c283fe8f560fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26749",
    "kind": "arxiv",
    "version": 1
  }
}