Pith Number

pith:2QH6X3CL

pith:2026:2QH6X3CLRHJIXPRHLBLFQVHST2

not attested not anchored not stored refs pending

How Token Influence Decays with Distance: A Green-Function View of Trained Language Models

Matthias Br\"andel, Oliver Rheinbach, Stephan K\"ohler

arxiv:2606.29139 v1 · 2026-06-28 · 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{2QH6X3CLRHJIXPRHLBLFQVHST2}

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	2026-06-30T01:17:54.103576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d40febec4b89d28bbe2758565854f29eacbf0bd393e3d63de81ec00ac91b660d

Aliases

arxiv: 2606.29139 · arxiv_version: 2606.29139v1 · doi: 10.48550/arxiv.2606.29139 · pith_short_12: 2QH6X3CLRHJI · pith_short_16: 2QH6X3CLRHJIXPRH · pith_short_8: 2QH6X3CL

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/2QH6X3CLRHJIXPRHLBLFQVHST2 \
  | 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: d40febec4b89d28bbe2758565854f29eacbf0bd393e3d63de81ec00ac91b660d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31b6b11ff0da9fcb8f947e37b649632fa5b067a6c0527eb06325327f5be872ed",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-28T01:00:22Z",
    "title_canon_sha256": "864bd1deef57711a6987b7ea1cc7902acd1c43f10c8ca568adb8f6567ddd5e80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29139",
    "kind": "arxiv",
    "version": 1
  }
}