Pith Number

pith:UARUWNBJ

pith:2020:UARUWNBJM3SVJLXBY26WRIADKI

not attested not anchored not stored refs pending

Loop coproduct in Morse and Floer homology

Alexandru Oancea, Kai Cieliebak, Nancy Hingston

arxiv:2008.13168 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{UARUWNBJM3SVJLXBY26WRIADKI}

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

1 paper in Pith

Reduced symplectic homology and string topology

Receipt and verification

First computed	2026-07-05T06:38:22.832849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0234b342966e554aee1c6bd68a003522208af09ba6e1c7f981da953046b4569

Aliases

arxiv: 2008.13168 · arxiv_version: 2008.13168v3 · doi: 10.48550/arxiv.2008.13168 · pith_short_12: UARUWNBJM3SV · pith_short_16: UARUWNBJM3SVJLXB · pith_short_8: UARUWNBJ

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/UARUWNBJM3SVJLXBY26WRIADKI \
  | 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: a0234b342966e554aee1c6bd68a003522208af09ba6e1c7f981da953046b4569

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88939faecda2825c030b7571dc5d5124314413504f5055d61677f308902fda75",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2020-08-30T13:25:13Z",
    "title_canon_sha256": "e0308f8f01813795d5a95affc388f29af3fcffe279514dba3b72704ede3cc6a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.13168",
    "kind": "arxiv",
    "version": 3
  }
}