Pith Number

pith:3E7U7RSQ

pith:2026:3E7U7RSQMWJWMYK4QWC4U3VVKX

not attested not anchored not stored refs pending

Loss Invariance Determines What Concept Layers Encode: Volume Grounding in Echocardiography

Hyunkyung Han, Min Jung Kim

arxiv:2607.25748 v1 · 2026-07-28 · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3E7U7RSQMWJWMYK4QWC4U3VVKX}

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	2026-07-29T01:26:00.346146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d93f4fc650659366615c8585ca6eb555ceb86c9e4457081a9bf02e70eb3c82ab

Aliases

arxiv: 2607.25748 · arxiv_version: 2607.25748v1 · doi: 10.48550/arxiv.2607.25748 · pith_short_12: 3E7U7RSQMWJW · pith_short_16: 3E7U7RSQMWJWMYK4 · pith_short_8: 3E7U7RSQ

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/3E7U7RSQMWJWMYK4QWC4U3VVKX \
  | 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: d93f4fc650659366615c8585ca6eb555ceb86c9e4457081a9bf02e70eb3c82ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdd6761db61de69e8dd7e0bd96c7b99a70004b4f9b576c8ea71cc0e5339ea278",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-07-28T14:11:10Z",
    "title_canon_sha256": "c73ea99b0e68f6a72b1f47463c03989b81100b2f0c2f5e93583d84673571bcbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25748",
    "kind": "arxiv",
    "version": 1
  }
}