Pith Number

pith:74RYQYMO

pith:2011:74RYQYMOGBXCVZFF467VWX4NKQ

not attested not anchored not stored refs pending

Topology of the spaces of Morse functions on surfaces

Elena Kudryavtseva

arxiv:1104.4792 v2 · 2011-04-25 · math.GT · 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{74RYQYMOGBXCVZFF467VWX4NKQ}

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	2026-05-18T01:23:10.779783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff2388618e306e2ae4a5e7bf5b5f8d540cf8ec969483318f99c3e304f9484a6a

Aliases

arxiv: 1104.4792 · arxiv_version: 1104.4792v2 · doi: 10.48550/arxiv.1104.4792 · pith_short_12: 74RYQYMOGBXC · pith_short_16: 74RYQYMOGBXCVZFF · pith_short_8: 74RYQYMO

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/74RYQYMOGBXCVZFF467VWX4NKQ \
  | 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: ff2388618e306e2ae4a5e7bf5b5f8d540cf8ec969483318f99c3e304f9484a6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acece0c02b6a1d90f0639d07a8a4c19a99092761d1c898e4bdebf3800b55d0f2",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-04-25T20:02:49Z",
    "title_canon_sha256": "6f7b5e0ccd1da5dc8dea09a4c06533a9a87b1f7c4a6f57262ccaffff5c44d878"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4792",
    "kind": "arxiv",
    "version": 2
  }
}