Pith Number

pith:A4T55LEF

pith:2013:A4T55LEFX2N7F6EMIOTOGVDPZ5

not attested not anchored not stored refs pending

Decompositions of $\mathbb{R}^n, n \geq 4,$ into convex sets generate codimension 1 manifold factors

Denise M. Halverson, Du\v{s}an Repov\v{s}

arxiv:1304.6956 v2 · 2013-04-25 · math.GT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A4T55LEFX2N7F6EMIOTOGVDPZ5}

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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.

Receipt and verification

First computed	2026-05-18T03:26:31.725013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0727deac85be9bf2f88c43a6e3546fcf7b3f43b5a3ccfb36c099ab67b9e613ab

Aliases

arxiv: 1304.6956 · arxiv_version: 1304.6956v2 · doi: 10.48550/arxiv.1304.6956 · pith_short_12: A4T55LEFX2N7 · pith_short_16: A4T55LEFX2N7F6EM · pith_short_8: A4T55LEF

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/A4T55LEFX2N7F6EMIOTOGVDPZ5 \
  | 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: 0727deac85be9bf2f88c43a6e3546fcf7b3f43b5a3ccfb36c099ab67b9e613ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4965892828f593d6aa27358157bf2eb053d7ac4f4a111a25935be8707f31b84e",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-04-25T16:35:30Z",
    "title_canon_sha256": "7cdc73f42d87e5e1179d571f9381d1fde73ef0d835266ab78e5f915712b876ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6956",
    "kind": "arxiv",
    "version": 2
  }
}