Pith Number

pith:S7R334FB

pith:2021:S7R334FBXXS6XQZESYWJCCLNTI

not attested not anchored not stored refs pending

The two-sphere partition function in two-dimensional quantum gravity at fixed area

Beatrix M\"uhlmann

arxiv:2106.04532 v2 · 2021-06-08 · 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{S7R334FBXXS6XQZESYWJCCLNTI}

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

de Sitter Vacua & pUniverses

Receipt and verification

First computed	2026-07-05T03:21:50.690072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97e3bdf0a1bde5ebc324962c91096d9a1ab8ac51d8bbc05f357794703828bd80

Aliases

arxiv: 2106.04532 · arxiv_version: 2106.04532v2 · doi: 10.48550/arxiv.2106.04532 · pith_short_12: S7R334FBXXS6 · pith_short_16: S7R334FBXXS6XQZE · pith_short_8: S7R334FB

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/S7R334FBXXS6XQZESYWJCCLNTI \
  | 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: 97e3bdf0a1bde5ebc324962c91096d9a1ab8ac51d8bbc05f357794703828bd80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e39ebed94265e910dc1273c280d180f88f899126a4ce5b9baf088aee2977dbe",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-06-08T17:15:58Z",
    "title_canon_sha256": "1d816f4e805a0c904442e9073dbdf5cac9128e828e49700476baf70ee6b89108"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.04532",
    "kind": "arxiv",
    "version": 2
  }
}