Pith Number

pith:PTAFHFWI

pith:2009:PTAFHFWIY5RARQ73R6ZJDMB4QX

not attested not anchored not stored refs pending

The homotopy and cohomology of spaces of locally convex curves in the sphere -- II

Nicolau C. Saldanha

arxiv:0905.2116 v2 · 2009-05-13 · 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{PTAFHFWIY5RARQ73R6ZJDMB4QX}

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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

1 paper in Pith

Characterization of some convex curves on the 3-sphere

Receipt and verification

First computed	2026-05-18T04:00:01.937858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cc05396c8c76208c3fb8fb291b03c85f29fba33fb39d550d5d8ea90aa42dbc5

Aliases

arxiv: 0905.2116 · arxiv_version: 0905.2116v2 · doi: 10.48550/arxiv.0905.2116 · pith_short_12: PTAFHFWIY5RA · pith_short_16: PTAFHFWIY5RARQ73 · pith_short_8: PTAFHFWI

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/PTAFHFWIY5RARQ73R6ZJDMB4QX \
  | 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: 7cc05396c8c76208c3fb8fb291b03c85f29fba33fb39d550d5d8ea90aa42dbc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f2b53cc14a6d965dc27fd740751fc1592e018d458cef77924b4e474c8eafa0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-05-13T14:07:05Z",
    "title_canon_sha256": "4ec34201e19cb12ccc539719349d20aa85fd535723f22be5da1d66b0890d0391"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2116",
    "kind": "arxiv",
    "version": 2
  }
}