Pith Number

pith:FJPXKW3M

pith:2020:FJPXKW3MGTO3XMOIUFDPECWLIC

not attested not anchored not stored refs pending

Aspects of aperiodicity and randomness in theoretical physics

Klee Irwin, Leonardo Ortiz, Marcelo Amaral

arxiv:2003.07282 v2 · 2020-03-16 · 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{FJPXKW3MGTO3XMOIUFDPECWLIC}

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	2026-07-05T01:06:20.625926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a5f755b6c34ddbbb1c8a146f20acb4082e1d3577ae52f997a9a6e308f1c1568

Aliases

arxiv: 2003.07282 · arxiv_version: 2003.07282v2 · doi: 10.48550/arxiv.2003.07282 · pith_short_12: FJPXKW3MGTO3 · pith_short_16: FJPXKW3MGTO3XMOI · pith_short_8: FJPXKW3M

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/FJPXKW3MGTO3XMOIUFDPECWLIC \
  | 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: 2a5f755b6c34ddbbb1c8a146f20acb4082e1d3577ae52f997a9a6e308f1c1568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22442cd8837a4fdc5da049e66fde9f2e35c614f5c7e30deb30f5d71476c0e7af",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-03-16T15:36:41Z",
    "title_canon_sha256": "a87e644462deb884efe417abbd3b30818f4404ab3a28a71e375c9b7fbe7e466f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.07282",
    "kind": "arxiv",
    "version": 2
  }
}