Pith Number

pith:VOUG7TNO

pith:2020:VOUG7TNOR5GTPVTNGCIRCNWPN3

not attested not anchored not stored refs pending

Models of the Universe based on Jordan algebras

Jan Ambjorn, Yoshiyuki Watabiki

arxiv:2003.13527 v1 · 2020-03-30 · 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{VOUG7TNOR5GTPVTNGCIRCNWPN3}

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	2026-07-05T01:12:42.138819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aba86fcdae8f4d37d66d30911136cf6ef2775a5b837bb470eb66e298c4bb5a99

Aliases

arxiv: 2003.13527 · arxiv_version: 2003.13527v1 · doi: 10.48550/arxiv.2003.13527 · pith_short_12: VOUG7TNOR5GT · pith_short_16: VOUG7TNOR5GTPVTN · pith_short_8: VOUG7TNO

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/VOUG7TNOR5GTPVTNGCIRCNWPN3 \
  | 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: aba86fcdae8f4d37d66d30911136cf6ef2775a5b837bb470eb66e298c4bb5a99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f3b337dbd83ef04d31babcbf7917e9e34279dfb9c54f626c41c06d9930d93d4",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-03-30T14:57:06Z",
    "title_canon_sha256": "e21ffcc022c26a34ab87ee88b5de093bb66f234032ee856f27997f7c1da426f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.13527",
    "kind": "arxiv",
    "version": 1
  }
}