Pith Number

pith:LCGIAK7N

pith:2020:LCGIAK7NMC5ZZOBFGVQ5CENQRT

not attested not anchored not stored refs pending

Liouville theory and Matrix models: A Wheeler DeWitt perspective

Olga Papadoulaki, Panagiotis Betzios

arxiv:2004.00002 v4 · 2020-03-30 · 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{LCGIAK7NMC5ZZOBFGVQ5CENQRT}

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	2026-07-05T01:46:50.188751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

588c802bed60bb9cb8253561d111b08cd93527d7efa38206186a6650cb111dba

Aliases

arxiv: 2004.00002 · arxiv_version: 2004.00002v4 · doi: 10.48550/arxiv.2004.00002 · pith_short_12: LCGIAK7NMC5Z · pith_short_16: LCGIAK7NMC5ZZOBF · pith_short_8: LCGIAK7N

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/LCGIAK7NMC5ZZOBFGVQ5CENQRT \
  | 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: 588c802bed60bb9cb8253561d111b08cd93527d7efa38206186a6650cb111dba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dce192de38094898f897db98e2be1129158f34604c7edbfe2f539132b4853a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-03-30T18:00:01Z",
    "title_canon_sha256": "7899ff0fde23e76040b4a675bd9cfd7f9259da0f54de607e55b2df34365be0d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.00002",
    "kind": "arxiv",
    "version": 4
  }
}