Pith Number

pith:62PEJTOJ

pith:2005:62PEJTOJBYWY2GWG4SRTRREFLK

not attested not anchored not stored refs pending

Spectral Dimension of the Universe

J. Ambjorn (NBI Copenhagen, J. Jurkiewicz (U. Krakow), R. Loll (U. Utrecht), U. Utrecht)

arxiv:hep-th/0505113 v2 · 2005-05-12 · hep-th · gr-qc · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{62PEJTOJBYWY2GWG4SRTRREFLK}

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.

Cited by

3 papers in Pith

Spontaneous symmetry breaking on graphs and lattices

Cosmology of fractional gravity

Causal Dynamical Triangulations: New Lattice Theory of Quantum Gravity

Receipt and verification

First computed	2026-07-04T17:25:26.278569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f69e44cdc90e2d8d1ac6e4a338c4855a937c77fc3c637098635b9a5cb0fdc74f

Aliases

arxiv: hep-th/0505113 · arxiv_version: hep-th/0505113v2 · doi: 10.48550/arxiv.hep-th/0505113 · pith_short_12: 62PEJTOJBYWY · pith_short_16: 62PEJTOJBYWY2GWG · pith_short_8: 62PEJTOJ

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/62PEJTOJBYWY2GWG4SRTRREFLK \
  | 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: f69e44cdc90e2d8d1ac6e4a338c4855a937c77fc3c637098635b9a5cb0fdc74f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c26609b287ea41b1af723d3a4398b50b8e81a1d5389ff121ce0bd75aea0db57a",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-lat"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-05-12T19:47:05Z",
    "title_canon_sha256": "f986f975647315d4c23c19991f3b83b4e2fbd5bda707cc5f5b34b564d23a01b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0505113",
    "kind": "arxiv",
    "version": 2
  }
}