Pith Number

pith:W5JEBFU6

pith:2011:W5JEBFU6YPVRG7HWATNJHDV3ZD

not attested not anchored not stored refs pending

Geodesically Complete Universe

Itzhak Bars

arxiv:1109.5872 v2 · 2011-09-27 · 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{W5JEBFU6YPVRG7HWATNJHDV3ZD}

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	2026-05-18T04:12:01.789196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b75240969ec3eb137cf604da938ebbc8c1408a4226b11c74f3a68b2508ae9399

Aliases

arxiv: 1109.5872 · arxiv_version: 1109.5872v2 · doi: 10.48550/arxiv.1109.5872 · pith_short_12: W5JEBFU6YPVR · pith_short_16: W5JEBFU6YPVRG7HW · pith_short_8: W5JEBFU6

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/W5JEBFU6YPVRG7HWATNJHDV3ZD \
  | 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: b75240969ec3eb137cf604da938ebbc8c1408a4226b11c74f3a68b2508ae9399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "305af6e5b34da2f848b5b22ffb8d0882d43edb5076b1277b24a64da2a09b36a4",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-09-27T12:59:04Z",
    "title_canon_sha256": "2ce9883c364f0491f7c5527bb51306070527d62daa03da4deabafbd45a1d768d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5872",
    "kind": "arxiv",
    "version": 2
  }
}