Pith Number

pith:L62ZT4D6

pith:2009:L62ZT4D6DG4GWSVBHRFYWUYC5Y

not attested not anchored not stored refs pending

Morse homology on noncompact manifolds

Kai Cieliebak, Urs Frauenfelder

arxiv:0911.1805 v1 · 2009-11-09 · 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{L62ZT4D6DG4GWSVBHRFYWUYC5Y}

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	2026-07-04T16:53:22.637873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fb599f07e19b86b4aa13c4b8b5302ee1bd800af421c0d0008cbc1576b7c855e

Aliases

arxiv: 0911.1805 · arxiv_version: 0911.1805v1 · doi: 10.48550/arxiv.0911.1805 · pith_short_12: L62ZT4D6DG4G · pith_short_16: L62ZT4D6DG4GWSVB · pith_short_8: L62ZT4D6

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/L62ZT4D6DG4GWSVBHRFYWUYC5Y \
  | 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: 5fb599f07e19b86b4aa13c4b8b5302ee1bd800af421c0d0008cbc1576b7c855e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7b54b29e79647c5298f62e104b756358ff8aa796331caf876c78543a929f0e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-11-09T23:29:53Z",
    "title_canon_sha256": "6c79a7731f77d049dc61925708614d0f730dcb7046e745099eea98243acb19ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1805",
    "kind": "arxiv",
    "version": 1
  }
}