Pith Number

pith:SO4K3YH7

pith:2000:SO4K3YH7LAXZXJCMM2N6LPG4OF

not attested not anchored not stored refs pending

Why we live in 3 Dimensions

Alex Granik, Carlos Castro, M.S. El Naschie

arxiv:hep-th/0004152 v5 · 2000-04-21 · 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{SO4K3YH7LAXZXJCMM2N6LPG4OF}

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	2026-05-18T04:06:45.260408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93b8ade0ff582f9ba44c669be5bcdc716113d9b1701f773222656761cc9bac27

Aliases

arxiv: hep-th/0004152 · arxiv_version: hep-th/0004152v5 · doi: 10.48550/arxiv.hep-th/0004152 · pith_short_12: SO4K3YH7LAXZ · pith_short_16: SO4K3YH7LAXZXJCM · pith_short_8: SO4K3YH7

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/SO4K3YH7LAXZXJCMM2N6LPG4OF \
  | 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: 93b8ade0ff582f9ba44c669be5bcdc716113d9b1701f773222656761cc9bac27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e21fb1c57fc6cabb493153a2c96d164d872c9d2477649c69894ef6dc6de0caa4",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-04-21T02:14:41Z",
    "title_canon_sha256": "8048c02b654bbb37c919d7f6029aa4610151fbc0ab1ec136da0fe6b305f929ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0004152",
    "kind": "arxiv",
    "version": 5
  }
}