Pith Number

pith:FLF7EN3Z

pith:2020:FLF7EN3ZV56PZKVUGN63MCUIBQ

not attested not anchored not stored refs pending

Multiplicative structures on cones and duality

Alexandru Oancea, Kai Cieliebak

arxiv:2008.13165 v3 · 2020-08-30 · math.SG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FLF7EN3ZV56PZKVUGN63MCUIBQ}

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.

Cited by

3 papers in Pith

Reduced symplectic homology and string topology

Proper modules over Ginzburg dg algebras and compact Fukaya categories of plumbings

Generation of immersed Lagrangians by cocores

Receipt and verification

First computed	2026-07-05T07:35:33.423017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2acbf23779af7cfcaab4337db60a880c0d2dfe649919fe73976c5fb5309153ee

Aliases

arxiv: 2008.13165 · arxiv_version: 2008.13165v3 · doi: 10.48550/arxiv.2008.13165 · pith_short_12: FLF7EN3ZV56P · pith_short_16: FLF7EN3ZV56PZKVU · pith_short_8: FLF7EN3Z

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/FLF7EN3ZV56PZKVUGN63MCUIBQ \
  | 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: 2acbf23779af7cfcaab4337db60a880c0d2dfe649919fe73976c5fb5309153ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c33d23cab47b057e42eaa942e3ccbfabc32eab7b68c4472974f5c5a95ee831dc",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2020-08-30T13:19:21Z",
    "title_canon_sha256": "08a62308e9213a7d29ca3f06abab40a22cbdbd7fe3578291fd951d4d506f5ef3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.13165",
    "kind": "arxiv",
    "version": 3
  }
}