Pith Number

pith:77QY6QKR

pith:2026:77QY6QKRVKNQ33Q5AJVD5FDZQX

not attested not anchored not stored refs pending

Large-$N$ Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions

Shuangshuang Chu, Yingnan Xu

arxiv:2606.26163 v1 · 2026-06-24 · 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{77QY6QKRVKNQ33Q5AJVD5FDZQX}

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	2026-06-26T00:15:28.246078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffe18f4151aa9b0dee1d026a3e947985cea0e2bfe2ac96ad61bec51b7d6402f8

Aliases

arxiv: 2606.26163 · arxiv_version: 2606.26163v1 · doi: 10.48550/arxiv.2606.26163 · pith_short_12: 77QY6QKRVKNQ · pith_short_16: 77QY6QKRVKNQ33Q5 · pith_short_8: 77QY6QKR

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/77QY6QKRVKNQ33Q5AJVD5FDZQX \
  | 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: ffe18f4151aa9b0dee1d026a3e947985cea0e2bfe2ac96ad61bec51b7d6402f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a52fba8e28bcedbc698c8829aa989ef22406ca7f7aa43cf727818e53f94b73c0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-24T06:24:41Z",
    "title_canon_sha256": "4051e28ec7a0052420b2b496afc8a0c0a32b8a5495d7c1c294b23b8c1d80fd13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26163",
    "kind": "arxiv",
    "version": 1
  }
}