Pith Number

pith:QJH6YVOC

pith:2014:QJH6YVOC2MEKJFHTS6HXD3I2I5

not attested not anchored not stored refs pending

Morse homology of manifolds with boundary revisited

Manabu Akaho

arxiv:1408.1474 v1 · 2014-08-07 · 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{QJH6YVOC2MEKJFHTS6HXD3I2I5}

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

2 papers in Pith

Reidemeister and movie moves for involutive links

Receipt and verification

First computed	2026-05-18T02:45:40.415147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

824fec55c2d308a494f3978f71ed1a477de95b3ac09eacfb554aa4eb28f06d6f

Aliases

arxiv: 1408.1474 · arxiv_version: 1408.1474v1 · doi: 10.48550/arxiv.1408.1474 · pith_short_12: QJH6YVOC2MEK · pith_short_16: QJH6YVOC2MEKJFHT · pith_short_8: QJH6YVOC

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/QJH6YVOC2MEKJFHTS6HXD3I2I5 \
  | 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: 824fec55c2d308a494f3978f71ed1a477de95b3ac09eacfb554aa4eb28f06d6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84a24c90cd5c1090773f901be783bebb8b842d0855ad62ac86bd6af2ec4bae1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-08-07T04:26:13Z",
    "title_canon_sha256": "681b107810141ebe61c4f25173142231140b0ade7a5d6cfd2a0c8aad06ec7b7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1474",
    "kind": "arxiv",
    "version": 1
  }
}