Pith Number

pith:5UWYZAOO

pith:2016:5UWYZAOOPQYY6RQFYTH2ZZR3ZR

not attested not anchored not stored refs pending

Homotopy invariance of the Conley index and local Morse homology in Hilbert spaces

Maciej Starostka, Marcin Styborski, Marek Izydorek, Robert C.A.M. Vandervorst, Thomas O. Rot

arxiv:1612.05524 v1 · 2016-12-16 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5UWYZAOOPQYY6RQFYTH2ZZR3ZR}

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	2026-05-18T00:54:51.605842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed2d8c81ce7c318f4605c4cface63bcc72734f31c74cdce041968cfbd4496837

Aliases

arxiv: 1612.05524 · arxiv_version: 1612.05524v1 · doi: 10.48550/arxiv.1612.05524 · pith_short_12: 5UWYZAOOPQYY · pith_short_16: 5UWYZAOOPQYY6RQF · pith_short_8: 5UWYZAOO

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/5UWYZAOOPQYY6RQFYTH2ZZR3ZR \
  | 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: ed2d8c81ce7c318f4605c4cface63bcc72734f31c74cdce041968cfbd4496837

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "689e87c1774b4f39a6d42976f751ae9128b1482cf601d4ed31300be6e9d7748d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-16T16:02:32Z",
    "title_canon_sha256": "f0acefb3afea0ccc9fea5686b8e64ac8dacd4dd551555cd15345030ec75dd52d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05524",
    "kind": "arxiv",
    "version": 1
  }
}