Pith Number

pith:B6O6HHEG

pith:2015:B6O6HHEGRDJNEPVFDXK4FSGLDS

not attested not anchored not stored refs pending

Thick morphisms of supermanifolds and oscillatory integral operators

Theodore Voronov

arxiv:1506.02417 v1 · 2015-06-08 · math-ph · math.DG · math.MP · math.QA · 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{B6O6HHEGRDJNEPVFDXK4FSGLDS}

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	2026-05-18T00:39:48.198434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f9de39c8688d2d23ea51dd5c2c8cb1cbf8f9fd2002910c5de2031660e6aca32

Aliases

arxiv: 1506.02417 · arxiv_version: 1506.02417v1 · doi: 10.48550/arxiv.1506.02417 · pith_short_12: B6O6HHEGRDJN · pith_short_16: B6O6HHEGRDJNEPVF · pith_short_8: B6O6HHEG

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/B6O6HHEGRDJNEPVFDXK4FSGLDS \
  | 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: 0f9de39c8688d2d23ea51dd5c2c8cb1cbf8f9fd2002910c5de2031660e6aca32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39b7c9de6a72c5cd9b2488747fc65a9362b0098033d166873ca180f45fc50769",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP",
      "math.QA",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-06-08T09:40:05Z",
    "title_canon_sha256": "e0baec5c19035eec9e1c80ff5ef73df4125c45d72f60345d53717cc531b0bd7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02417",
    "kind": "arxiv",
    "version": 1
  }
}