Pith Number

pith:23BEBTCA

pith:2026:23BEBTCA2KXB27D7GX2FHKDBAW

not attested not anchored not stored refs pending

How Many Bits Can an Adapter Write? Measuring the Capacity and Memorization of Parameter-Efficient Fine-Tuning

Heqing Du, Kaizhen Tan, Yang Feng

arxiv:2607.21351 v1 · 2026-07-23 · 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{23BEBTCA2KXB27D7GX2FHKDBAW}

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	2026-07-24T01:24:27.128842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6c240cc40d2ae1d7c7f35f453a86105965e94f2b73baabb07a50ab264cf5b0b

Aliases

arxiv: 2607.21351 · arxiv_version: 2607.21351v1 · doi: 10.48550/arxiv.2607.21351 · pith_short_12: 23BEBTCA2KXB · pith_short_16: 23BEBTCA2KXB27D7 · pith_short_8: 23BEBTCA

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/23BEBTCA2KXB27D7GX2FHKDBAW \
  | 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: d6c240cc40d2ae1d7c7f35f453a86105965e94f2b73baabb07a50ab264cf5b0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "137ffcf396f926b1736049cd1f2b0a862f39e10271e5c473b4df85620975686b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-23T14:16:43Z",
    "title_canon_sha256": "77a51b5b9b7549ba6b5a6fc4aea416665bd16ace47e4e038a6179dc9129ba86a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21351",
    "kind": "arxiv",
    "version": 1
  }
}