Pith Number

pith:DRMRHJRC

pith:2021:DRMRHJRC37ZZ2LP3V2JQXXX57G

not attested not anchored not stored refs pending

Quantum Gravity Microstates from Fredholm Determinants

Clifford V. Johnson

arxiv:2106.09048 v1 · 2021-06-16 · 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{DRMRHJRC37ZZ2LP3V2JQXXX57G}

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.

Cited by

1 paper in Pith

Spectral Form Factor of Gapped Random Matrix Systems

Receipt and verification

First computed	2026-07-05T03:30:12.748433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c5913a622dff39d2dfbae930bdefdf9be83d24458a9ae793df67ceca9c566bc

Aliases

arxiv: 2106.09048 · arxiv_version: 2106.09048v1 · doi: 10.48550/arxiv.2106.09048 · pith_short_12: DRMRHJRC37ZZ · pith_short_16: DRMRHJRC37ZZ2LP3 · pith_short_8: DRMRHJRC

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/DRMRHJRC37ZZ2LP3V2JQXXX57G \
  | 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: 1c5913a622dff39d2dfbae930bdefdf9be83d24458a9ae793df67ceca9c566bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13b7fc2a98609a98214ec938d82ef58172078f0d725eb3b3ee9d6bd939884c69",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-06-16T18:00:06Z",
    "title_canon_sha256": "88171d306a0c77f0573f38d18a28ae0f6a24ce56299c5331cca82ba3780b1257"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.09048",
    "kind": "arxiv",
    "version": 1
  }
}