Pith Number

pith:EZ47XM3C

pith:2026:EZ47XM3CQIZVXYD3JI6UH6TWZF

not attested not anchored not stored refs pending

Tracking Representation Dynamics in Large Language Models with Persistent Homology

Abbas Schwarz, Abhinav Gupta, Anthea Monod, Jay Ambadkar, Kamillo Ferry, Kushal Kasivel, Naman Malhotra

arxiv:2606.19542 v1 · 2026-06-17 · 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{EZ47XM3CQIZVXYD3JI6UH6TWZF}

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	2026-06-19T16:12:28.536435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2679fbb36282335be07b4a3d43fa76c9776463a717ce331ff8d918c1f85666d9

Aliases

arxiv: 2606.19542 · arxiv_version: 2606.19542v1 · doi: 10.48550/arxiv.2606.19542 · pith_short_12: EZ47XM3CQIZV · pith_short_16: EZ47XM3CQIZVXYD3 · pith_short_8: EZ47XM3C

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/EZ47XM3CQIZVXYD3JI6UH6TWZF \
  | 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: 2679fbb36282335be07b4a3d43fa76c9776463a717ce331ff8d918c1f85666d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84b160cf30490df20bc4b9ebcd4281f8ba9cac9e05a7f34128555eb3bb95f5b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-17T19:35:10Z",
    "title_canon_sha256": "da9463710044320c3c291b60fe655992a721ea1c6642f5bc9e4c376f5a0594e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19542",
    "kind": "arxiv",
    "version": 1
  }
}