Pith Number

pith:2J3ZG37C

pith:2016:2J3ZG37CUZRA4U2QQ45DL5P4QC

not attested not anchored not stored refs pending

Multiscale spacetimes from first principles

Gianluca Calcagni

arxiv:1609.02776 v3 · 2016-09-08 · gr-qc · hep-th · 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{2J3ZG37CUZRA4U2QQ45DL5P4QC}

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	2026-05-18T00:47:36.961390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d277936fe2a6620e5350873a35f5fc8093d4a5c18980594f1e14f13051dc1a76

Aliases

arxiv: 1609.02776 · arxiv_version: 1609.02776v3 · doi: 10.48550/arxiv.1609.02776 · pith_short_12: 2J3ZG37CUZRA · pith_short_16: 2J3ZG37CUZRA4U2Q · pith_short_8: 2J3ZG37C

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/2J3ZG37CUZRA4U2QQ45DL5P4QC \
  | 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: d277936fe2a6620e5350873a35f5fc8093d4a5c18980594f1e14f13051dc1a76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0eb7b282b67652b6c8cb7c65a12d3ab6821fc79778b2895bcdde6e697cb48b9",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-09-08T07:59:46Z",
    "title_canon_sha256": "c25c1ba91ff578400a94857e977032f517215f98cb81fafbe09e8239613ce588"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02776",
    "kind": "arxiv",
    "version": 3
  }
}