Pith Number

pith:CLAYBFYL

pith:2025:CLAYBFYLKGV3S4VPJD2GWMJMID

not attested not anchored not stored refs pending

Linear response beyond hydrodynamic poles

Andrea Amoretti, Daniel K. Brattan, Jonas Rongen

arxiv:2512.19694 v3 · 2025-12-22 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLAYBFYLKGV3S4VPJD2GWMJMID}

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	2026-05-20T00:01:38.249076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12c180970b51abb972af48f46b312c40d799654773742ad65dfd69bf474762c5

Aliases

arxiv: 2512.19694 · arxiv_version: 2512.19694v3 · doi: 10.48550/arxiv.2512.19694 · pith_short_12: CLAYBFYLKGV3 · pith_short_16: CLAYBFYLKGV3S4VP · pith_short_8: CLAYBFYL

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/CLAYBFYLKGV3S4VPJD2GWMJMID \
  | 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: 12c180970b51abb972af48f46b312c40d799654773742ad65dfd69bf474762c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2fc143e03a92cf600056d30275b332b2ac80234b7f146893db48131e6295e44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-12-22T18:59:57Z",
    "title_canon_sha256": "da8a9ca85f38d1aebe290f726936c4bbca1d201ef029309f05d8d613dca29109"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.19694",
    "kind": "arxiv",
    "version": 3
  }
}