Pith Number

pith:UK7XS6LT

pith:2013:UK7XS6LTIQQMM6RUS66MEETZPQ

not attested not anchored not stored refs pending

Higher symplectic structure on torsionless Lie-Rinehart pairs

Mirco Richter

arxiv:1312.7752 v4 · 2013-12-30 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UK7XS6LTIQQMM6RUS66MEETZPQ}

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	2026-05-18T02:45:48.596268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2bf7979734420c67a3497bcc212797c2969111cdb6b7b423a3f21d8b044a1a8

Aliases

arxiv: 1312.7752 · arxiv_version: 1312.7752v4 · doi: 10.48550/arxiv.1312.7752 · pith_short_12: UK7XS6LTIQQM · pith_short_16: UK7XS6LTIQQMM6RU · pith_short_8: UK7XS6LT

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/UK7XS6LTIQQMM6RUS66MEETZPQ \
  | 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: a2bf7979734420c67a3497bcc212797c2969111cdb6b7b423a3f21d8b044a1a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc41e542017be6d837898d56ed52cb1105d2dfd026cd6d8ed0a22e9426e3dee5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-30T15:58:25Z",
    "title_canon_sha256": "c5ae08292942daade90edf72ba68c9df171baac2dd2863ee1048cc9c18c12dcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7752",
    "kind": "arxiv",
    "version": 4
  }
}