Pith Number

pith:XPMEPXHG

pith:2019:XPMEPXHGBYWJAPXRLEJDHXHLIR

not attested not anchored not stored refs pending

Vertex operators for an expanding universe

Piero Truini

arxiv:1901.07916 v1 · 2019-01-22 · physics.gen-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPMEPXHGBYWJAPXRLEJDHXHLIR}

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.

Cited by

1 paper in Pith

Exceptional Periodicity and Magic Star Algebras. I : Foundations

Receipt and verification

First computed	2026-07-05T00:08:27.286953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbd847dce60e2c903ef1591233dceb4448644a06265a0427eb4572ac0957b05f

Aliases

arxiv: 1901.07916 · arxiv_version: 1901.07916v1 · doi: 10.48550/arxiv.1901.07916 · pith_short_12: XPMEPXHGBYWJ · pith_short_16: XPMEPXHGBYWJAPXR · pith_short_8: XPMEPXHG

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/XPMEPXHGBYWJAPXRLEJDHXHLIR \
  | 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: bbd847dce60e2c903ef1591233dceb4448644a06265a0427eb4572ac0957b05f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a951debb7749cd7be6ea7a6238434e7b98870f94126232ddb36bb73df25e26a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2019-01-22T17:03:44Z",
    "title_canon_sha256": "592f78686a4e0bf243345d01f28e16045c5f290cbed5b7baacfea7c9ebaf7b88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07916",
    "kind": "arxiv",
    "version": 1
  }
}