Pith Number

pith:VRD6WJH3

pith:2011:VRD6WJH3GHFS7NMO66UL4X33A6

not attested not anchored not stored refs pending

Geometry and field theory in multi-fractional spacetime

Gianluca Calcagni

arxiv:1107.5041 v4 · 2011-07-25 · hep-th · gr-qc · 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{VRD6WJH3GHFS7NMO66UL4X33A6}

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

2 papers in Pith

Probing modified gravitational-wave dispersion with bursts from eccentric black-hole binaries

Noether charges and the first law of thermodynamics for multifractional Schwarzschild black hole in the q-derivative theory

Receipt and verification

First computed	2026-05-18T04:04:18.934268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac47eb24fb31cb2fb58ef7a8be5f7b07a7d64214ffe4eec5ba090aa2d03f770c

Aliases

arxiv: 1107.5041 · arxiv_version: 1107.5041v4 · doi: 10.48550/arxiv.1107.5041 · pith_short_12: VRD6WJH3GHFS · pith_short_16: VRD6WJH3GHFS7NMO · pith_short_8: VRD6WJH3

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/VRD6WJH3GHFS7NMO66UL4X33A6 \
  | 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: ac47eb24fb31cb2fb58ef7a8be5f7b07a7d64214ffe4eec5ba090aa2d03f770c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cf72db679cb0a8c3f78a45f8f0405ae22911390933db13030c5454f0eff0e77",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-07-25T20:00:02Z",
    "title_canon_sha256": "d20149ee6dac179432d5b5b94d0802adc4cb971992677a971b18ebf9389eacc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5041",
    "kind": "arxiv",
    "version": 4
  }
}