Pith Number

pith:DDCC5NIU

pith:2013:DDCC5NIUPMZG6UAU4VO7JMUCYP

not attested not anchored not stored refs pending

Lie monads and dualities

Isar Goyvaerts, Joost Vercruysse

arxiv:1302.6869 v2 · 2013-02-27 · math.RA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DDCC5NIUPMZG6UAU4VO7JMUCYP}

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	2026-05-18T03:04:59.535139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18c42eb5147b326f5014e55df4b282c3f73bb154acacecd8a8cb03530feed46f

Aliases

arxiv: 1302.6869 · arxiv_version: 1302.6869v2 · doi: 10.48550/arxiv.1302.6869 · pith_short_12: DDCC5NIUPMZG · pith_short_16: DDCC5NIUPMZG6UAU · pith_short_8: DDCC5NIU

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/DDCC5NIUPMZG6UAU4VO7JMUCYP \
  | 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: 18c42eb5147b326f5014e55df4b282c3f73bb154acacecd8a8cb03530feed46f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6f36c507d860c6136bb688305c20a4c9bec296a91289e51487a88ad0e4d9c23",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-02-27T15:00:33Z",
    "title_canon_sha256": "8545e1e5e5abd58c2d0c7f5d02d3cc120133949f268b1b79f31c54504d63a777"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6869",
    "kind": "arxiv",
    "version": 2
  }
}