Pith Number

pith:Z2V5FAS3

pith:2009:Z2V5FAS3IFHNZSS4RSWEDWPB6D

not attested not anchored not stored refs pending

On the Homothety Conjecture

Deping Ye, Elisabeth M. Werner

arxiv:0911.0642 v1 · 2009-11-03 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2V5FAS3IFHNZSS4RSWEDWPB6D}

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	2026-05-18T03:26:53.115956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceabd2825b414edcca5c8cac41d9e1f0fc515009dbac14b06e651218c3782bb8

Aliases

arxiv: 0911.0642 · arxiv_version: 0911.0642v1 · doi: 10.48550/arxiv.0911.0642 · pith_short_12: Z2V5FAS3IFHN · pith_short_16: Z2V5FAS3IFHNZSS4 · pith_short_8: Z2V5FAS3

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/Z2V5FAS3IFHNZSS4RSWEDWPB6D \
  | 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: ceabd2825b414edcca5c8cac41d9e1f0fc515009dbac14b06e651218c3782bb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc69175624f126555bb9e6663b5f037242fbaf30adeaf71ec5bf18ffaea70969",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2009-11-03T17:38:58Z",
    "title_canon_sha256": "566ad7c79cad81d80f35310e2f82bdadfda756de7d1dbf82fdf5053b9a121164"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0642",
    "kind": "arxiv",
    "version": 1
  }
}