Pith Number

pith:3DALJYOI

pith:2010:3DALJYOILJX2N4G7OTBRQ5CT7H

not attested not anchored not stored refs pending

Riemann-Hilbert treatment of Liouville theory on the torus

Pietro Menotti

arxiv:1010.4946 v2 · 2010-10-24 · 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{3DALJYOILJX2N4G7OTBRQ5CT7H}

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	2026-05-18T04:27:27.965971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8c0b4e1c85a6fa6f0df74c3187453f9c9d52e6ad82528fb50d4b534c19a760d

Aliases

arxiv: 1010.4946 · arxiv_version: 1010.4946v2 · doi: 10.48550/arxiv.1010.4946 · pith_short_12: 3DALJYOILJX2 · pith_short_16: 3DALJYOILJX2N4G7 · pith_short_8: 3DALJYOI

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/3DALJYOILJX2N4G7OTBRQ5CT7H \
  | 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: d8c0b4e1c85a6fa6f0df74c3187453f9c9d52e6ad82528fb50d4b534c19a760d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85b104aec1bb84c6da823e85020d090da071ac36ebd02bb797e99ea0ab89b67d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-10-24T09:19:19Z",
    "title_canon_sha256": "a65292d8da52a2e7970fb0e35ed8fe1c358bb8c8a728de8db89f54483f523080"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4946",
    "kind": "arxiv",
    "version": 2
  }
}