Pith Number

pith:TXPDA7SV

pith:2010:TXPDA7SVATSSFIUKQYOV4TJBC6

not attested not anchored not stored refs pending

Gravity on a multifractal

Gianluca Calcagni

arxiv:1012.1244 v2 · 2010-12-06 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXPDA7SVATSSFIUKQYOV4TJBC6}

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	2026-05-18T02:23:15.219761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dde307e5504e522a28a861d5e4d211783ef86639149092040c04029f66ec353

Aliases

arxiv: 1012.1244 · arxiv_version: 1012.1244v2 · doi: 10.48550/arxiv.1012.1244 · pith_short_12: TXPDA7SVATSS · pith_short_16: TXPDA7SVATSSFIUK · pith_short_8: TXPDA7SV

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/TXPDA7SVATSSFIUKQYOV4TJBC6 \
  | 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: 9dde307e5504e522a28a861d5e4d211783ef86639149092040c04029f66ec353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38fb5c7b7524cc96f15a46a5898614446540f335b0e0f80042a943247290b7e3",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-12-06T17:00:30Z",
    "title_canon_sha256": "586cc38cc7ba98365d891de7906db46ba5f56be27a3d0250d5706db7a70319a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1244",
    "kind": "arxiv",
    "version": 2
  }
}