Pith Number

pith:MVF6CUE3

pith:2021:MVF6CUE3UFMLZKZVOGVDTCCMYU

not attested not anchored not stored refs pending

Poincar\'e Series, 3d Gravity and Averages of Rational CFT

Palash Singh, Sunil Mukhi, Viraj Meruliya

arxiv:2102.03136 v1 · 2021-02-05 · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MVF6CUE3UFMLZKZVOGVDTCCMYU}

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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

3 papers in Pith

M\"obius randomness in the Hartle-Hawking state

A solvable model of 3d quantum gravity

Reconstructing conformal field theoretical compositions with Transformers

Receipt and verification

First computed	2026-07-05T02:39:14.088174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

654be1509ba158bcab3571aa39884cc51b55de7971399790820545e82238d501

Aliases

arxiv: 2102.03136 · arxiv_version: 2102.03136v1 · doi: 10.48550/arxiv.2102.03136 · pith_short_12: MVF6CUE3UFML · pith_short_16: MVF6CUE3UFMLZKZV · pith_short_8: MVF6CUE3

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/MVF6CUE3UFMLZKZVOGVDTCCMYU \
  | 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: 654be1509ba158bcab3571aa39884cc51b55de7971399790820545e82238d501

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e9080827eddff0ad482822d2e5ce0c4737cf7fa0278aab2267a32c4081ad2dd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-02-05T12:26:50Z",
    "title_canon_sha256": "112f1a49dc793cef34f28f6ce4dc3a64bc50b49483c773cba9a0f826adfbbc5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.03136",
    "kind": "arxiv",
    "version": 1
  }
}