Pith Number

pith:GUK77UIH

pith:2026:GUK77UIHYT5RTSWHLEW4HVH64G

not attested not anchored not stored refs pending

Large Quantum Gravity Fluctuations of BTZ Black Holes

Ben Freivogel, Upamanyu Moitra

arxiv:2606.28160 v1 · 2026-06-26 · 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{GUK77UIHYT5RTSWHLEW4HVH64G}

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	2026-06-29T01:15:07.794775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3515ffd107c4fb19cac7592dc3d4fee18a32d28928389f7a444a0dd08ffd8bdc

Aliases

arxiv: 2606.28160 · arxiv_version: 2606.28160v1 · doi: 10.48550/arxiv.2606.28160 · pith_short_12: GUK77UIHYT5R · pith_short_16: GUK77UIHYT5RTSWH · pith_short_8: GUK77UIH

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/GUK77UIHYT5RTSWHLEW4HVH64G \
  | 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: 3515ffd107c4fb19cac7592dc3d4fee18a32d28928389f7a444a0dd08ffd8bdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cea16a57e9f4e0fa90f4296baf3681e6d2b24712b43c7ea8a82ac86559f8c2f9",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-26T14:56:52Z",
    "title_canon_sha256": "99250c159cd9679b438d0ffa7b3dc4f3bb407da71dff480967e777d20202cb48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28160",
    "kind": "arxiv",
    "version": 1
  }
}