Pith Number

pith:Q7JQYRFW

pith:2012:Q7JQYRFWZGHG6PHDMCB4MD23BO

not attested not anchored not stored refs pending

Introduction to multifractional spacetimes

Gianluca Calcagni

arxiv:1209.1110 v2 · 2012-09-05 · 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{Q7JQYRFWZGHG6PHDMCB4MD23BO}

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	2026-05-18T03:43:41.776706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87d30c44b6c98e6f3ce36083c60f5b0ba1f5c1f31c1fe7603c6d6873de874bcc

Aliases

arxiv: 1209.1110 · arxiv_version: 1209.1110v2 · doi: 10.48550/arxiv.1209.1110 · pith_short_12: Q7JQYRFWZGHG · pith_short_16: Q7JQYRFWZGHG6PHD · pith_short_8: Q7JQYRFW

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/Q7JQYRFWZGHG6PHDMCB4MD23BO \
  | 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: 87d30c44b6c98e6f3ce36083c60f5b0ba1f5c1f31c1fe7603c6d6873de874bcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7443986d47d0944f4f06e1eab9e4d6c4604649c975bbdae388f9519213310a1",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-09-05T20:08:30Z",
    "title_canon_sha256": "899ad9e76598423f9083a179c48ca27d9c8a439c8274d6974e2e5fd14eae28ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1110",
    "kind": "arxiv",
    "version": 2
  }
}