Pith Number

pith:QZKS4CQN

pith:2016:QZKS4CQNZPBEWOUYRSQFUCMMYX

not attested not anchored not stored refs pending

Holographic Butterfly Effect at Quantum Critical Points

Jian-Pin Wu, Peng Liu, Yi Ling

arxiv:1610.02669 v3 · 2016-10-09 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZKS4CQNZPBEWOUYRSQFUCMMYX}

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	2026-05-18T00:32:21.171614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86552e0a0dcbc24b3a988ca05a098cc5e268bdbeac740db9095b4cc37c9dd47f

Aliases

arxiv: 1610.02669 · arxiv_version: 1610.02669v3 · doi: 10.48550/arxiv.1610.02669 · pith_short_12: QZKS4CQNZPBE · pith_short_16: QZKS4CQNZPBEWOUY · pith_short_8: QZKS4CQN

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/QZKS4CQNZPBEWOUYRSQFUCMMYX \
  | 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: 86552e0a0dcbc24b3a988ca05a098cc5e268bdbeac740db9095b4cc37c9dd47f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78db694ce65fc758172a4ac5e2aa14aae3d7aa1c89beab5e9ae0e9dccf27c8db",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-10-09T12:37:40Z",
    "title_canon_sha256": "5a4f1b15966e6a0a1f9a24c0eeee5b5963dcb183e780cd2f902debf69585244b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02669",
    "kind": "arxiv",
    "version": 3
  }
}