Pith Number

pith:6JY65TJE

pith:2020:6JY65TJEP6OK56S5KZL4DUDKSM

not attested not anchored not stored refs pending

Volume of metric balls in Liouville quantum gravity

Hugo Falconet, Morris Ang, Xin Sun

arxiv:2001.11467 v2 · 2020-01-30 · math.PR · 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{6JY65TJEP6OK56S5KZL4DUDKSM}

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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

1 paper in Pith

Dimension lower bounds in random geometry via Lipschitz functions

Receipt and verification

First computed	2026-07-05T01:55:08.123544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f271eecd247f9caefa5d5657c1d06a930a0e769b26a0bbfe2c9907d5547d01d5

Aliases

arxiv: 2001.11467 · arxiv_version: 2001.11467v2 · doi: 10.48550/arxiv.2001.11467 · pith_short_12: 6JY65TJEP6OK · pith_short_16: 6JY65TJEP6OK56S5 · pith_short_8: 6JY65TJE

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/6JY65TJEP6OK56S5KZL4DUDKSM \
  | 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: f271eecd247f9caefa5d5657c1d06a930a0e769b26a0bbfe2c9907d5547d01d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a10d6eec9661757b8eec1db82d476c87a4b6a571ae953396143f92953e3259ac",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-01-30T17:26:54Z",
    "title_canon_sha256": "0a5e1a3146ef7ca9c4786953f8706dcb17dca63aed214de249315ca4e3d51539"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.11467",
    "kind": "arxiv",
    "version": 2
  }
}