Pith Number

pith:SIHIROAQ

pith:2007:SIHIROAQ2V272WEXDLNSF6IILM

not attested not anchored not stored refs pending

Homotopy dimension of orbits of Morse functions on surfaces

Sergiy Maksymenko

arxiv:0710.4437 v3 · 2007-10-24 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SIHIROAQ2V272WEXDLNSF6IILM}

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	2026-05-18T01:23:48.596374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

920e88b810d575fd58971adb22f9085b3891589cd8a314ba5039118be0e6cea6

Aliases

arxiv: 0710.4437 · arxiv_version: 0710.4437v3 · doi: 10.48550/arxiv.0710.4437 · pith_short_12: SIHIROAQ2V27 · pith_short_16: SIHIROAQ2V272WEX · pith_short_8: SIHIROAQ

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/SIHIROAQ2V272WEXDLNSF6IILM \
  | 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: 920e88b810d575fd58971adb22f9085b3891589cd8a314ba5039118be0e6cea6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf8c18ff162755e508c0bf290c0b7470f4cf772ee6f6ad56b9fbffa0c67d27c1",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2007-10-24T11:40:44Z",
    "title_canon_sha256": "580d5dbe6446ad17f1c4e37f5651060ab433656fcff4b958cd456dc68b0ae6cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.4437",
    "kind": "arxiv",
    "version": 3
  }
}