Pith Number

pith:BGS7O5F6

pith:2016:BGS7O5F6S4CYZNX6U75SDY7UVF

not attested not anchored not stored refs pending

Lie groups in quasi-Poisson geometry and braided Hopf algebras

Fridrich Valach, Pavol \v{S}evera

arxiv:1604.07164 v2 · 2016-04-25 · math.SG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BGS7O5F6S4CYZNX6U75SDY7UVF}

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	2026-05-18T01:16:12.600100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09a5f774be97058cb6fea7fb21e3f4a95bba3654c77ded0d8e72cd2470aa0a29

Aliases

arxiv: 1604.07164 · arxiv_version: 1604.07164v2 · doi: 10.48550/arxiv.1604.07164 · pith_short_12: BGS7O5F6S4CY · pith_short_16: BGS7O5F6S4CYZNX6 · pith_short_8: BGS7O5F6

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/BGS7O5F6S4CYZNX6U75SDY7UVF \
  | 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: 09a5f774be97058cb6fea7fb21e3f4a95bba3654c77ded0d8e72cd2470aa0a29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb9929f800e3f7d70018dd0845ccec5fb662f9980273c9f8972ca28ac0d45a4b",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-04-25T08:38:02Z",
    "title_canon_sha256": "f4b07da4d93b44122637db2dfb2e932440d6df33e60cd5e023d47c7bbbcdf24a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07164",
    "kind": "arxiv",
    "version": 2
  }
}