Pith Number

pith:VMXWCTC3

pith:2015:VMXWCTC3QGDEDMERTWDTJ4VSEC

not attested not anchored not stored refs pending

Liouville quantum gravity spheres as matings of finite-diameter trees

Jason Miller, Scott Sheffield

arxiv:1506.03804 v4 · 2015-06-11 · math.PR · math-ph · math.CV · 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{VMXWCTC3QGDEDMERTWDTJ4VSEC}

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	2026-05-18T00:03:41.989421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab2f614c5b818641b0919d8734f2b2209a51860d6f4edc7775784339f8ffafc7

Aliases

arxiv: 1506.03804 · arxiv_version: 1506.03804v4 · doi: 10.48550/arxiv.1506.03804 · pith_short_12: VMXWCTC3QGDE · pith_short_16: VMXWCTC3QGDEDMER · pith_short_8: VMXWCTC3

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/VMXWCTC3QGDEDMERTWDTJ4VSEC \
  | 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: ab2f614c5b818641b0919d8734f2b2209a51860d6f4edc7775784339f8ffafc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7a3afdae42fed153ebb56b30679cb689603b54cd3dc9c9c01bc1726b0b941a1",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-11T19:54:28Z",
    "title_canon_sha256": "422628af9ab82e264b85331c4d735a1ed0b401a4a55401a58ef4271d79c3a96f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03804",
    "kind": "arxiv",
    "version": 4
  }
}