Pith Number

pith:T3KHW5P5

pith:2015:T3KHW5P5GSMXJNDRSL5M2ZAVES

not attested not anchored not stored refs pending

Quantum microformal morphisms of supermanifolds: an explicit formula and further properties

Theodore Voronov

arxiv:1512.04163 v1 · 2015-12-14 · math-ph · math.DG · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T3KHW5P5GSMXJNDRSL5M2ZAVES}

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	2026-05-18T01:24:22.940076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ed47b75fd349974b47192facd641524953db5775b7feb5704ab9df90b6b7669

Aliases

arxiv: 1512.04163 · arxiv_version: 1512.04163v1 · doi: 10.48550/arxiv.1512.04163 · pith_short_12: T3KHW5P5GSMX · pith_short_16: T3KHW5P5GSMXJNDR · pith_short_8: T3KHW5P5

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/T3KHW5P5GSMXJNDRSL5M2ZAVES \
  | 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: 9ed47b75fd349974b47192facd641524953db5775b7feb5704ab9df90b6b7669

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "570fab767210426d168479f5f8a2b6d8ef4235b5bcacbe692ce2a91fa4773fb5",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-14T04:06:37Z",
    "title_canon_sha256": "a90070c2dee7f4b82c1d58e88bd5721b7cb9235284b42926b371bd0ecea1b0fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04163",
    "kind": "arxiv",
    "version": 1
  }
}