Pith Number

pith:EFHMGPGH

pith:2010:EFHMGPGH2KM6HEH3YQ5ALR65ZF

not attested not anchored not stored refs pending

Invariance property of Morse homology on noncompact manifolds

Jungsoo Kang

arxiv:1012.5571 v1 · 2010-12-27 · 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{EFHMGPGH2KM6HEH3YQ5ALR65ZF}

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	2026-05-18T04:32:22.980838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

214ec33cc7d299e390fbc43a05c7ddc96ac6033cba72790d835b3cf44394f11e

Aliases

arxiv: 1012.5571 · arxiv_version: 1012.5571v1 · doi: 10.48550/arxiv.1012.5571 · pith_short_12: EFHMGPGH2KM6 · pith_short_16: EFHMGPGH2KM6HEH3 · pith_short_8: EFHMGPGH

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/EFHMGPGH2KM6HEH3YQ5ALR65ZF \
  | 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: 214ec33cc7d299e390fbc43a05c7ddc96ac6033cba72790d835b3cf44394f11e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "850907570c32f051ad24fb099aea12d18518c900aafc3fb4e7973c94f2fc4838",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-12-27T07:33:04Z",
    "title_canon_sha256": "7ec92b09fa341fc10357c8f6e87b46f65089c67f9b19eae0bacb70fe1ec12819"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5571",
    "kind": "arxiv",
    "version": 1
  }
}