Pith Number

pith:DVOV76FD

pith:2011:DVOV76FDQ4LI7UJMJX66CSJ2NL

not attested not anchored not stored refs pending

Superposition rules for higher-order systems and their applications

J. de Lucas, J. F. Cari\~nena, J. Grabowski

arxiv:1111.4070 v2 · 2011-11-17 · math-ph · math.CA · math.DG · 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{DVOV76FDQ4LI7UJMJX66CSJ2NL}

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	2026-05-18T03:57:00.259861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d5d5ff8a387168fd12c4dfde1493a6adab0f98f3b8c14cd6d16fbc24c566ffe

Aliases

arxiv: 1111.4070 · arxiv_version: 1111.4070v2 · doi: 10.48550/arxiv.1111.4070 · pith_short_12: DVOV76FDQ4LI · pith_short_16: DVOV76FDQ4LI7UJM · pith_short_8: DVOV76FD

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/DVOV76FDQ4LI7UJMJX66CSJ2NL \
  | 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: 1d5d5ff8a387168fd12c4dfde1493a6adab0f98f3b8c14cd6d16fbc24c566ffe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a11994ab9c72d0cfe1adeffbdac3f74e01e37a728b46beac6dc453e1c3945dba",
    "cross_cats_sorted": [
      "math.CA",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-17T12:17:44Z",
    "title_canon_sha256": "5ef2c0497788e1225d8bb9ad7eadba8728744b74c806be35b3e69c938c1654cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4070",
    "kind": "arxiv",
    "version": 2
  }
}