Pith Number

pith:M56KM3KO

pith:2010:M56KM3KOJ44UPUGK4YVBPH6UFJ

not attested not anchored not stored refs pending

A M\"obius Characterization of Metric Spheres

Thomas Foertsch, Viktor Schroeder

arxiv:1008.3250 v1 · 2010-08-19 · math.MG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M56KM3KOJ44UPUGK4YVBPH6UFJ}

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	2026-05-18T04:42:03.048476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

677ca66d4e4f3947d0cae62a179fd42a49fcc228cd482c2413dae3b5c1ba9be9

Aliases

arxiv: 1008.3250 · arxiv_version: 1008.3250v1 · doi: 10.48550/arxiv.1008.3250 · pith_short_12: M56KM3KOJ44U · pith_short_16: M56KM3KOJ44UPUGK · pith_short_8: M56KM3KO

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/M56KM3KOJ44UPUGK4YVBPH6UFJ \
  | 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: 677ca66d4e4f3947d0cae62a179fd42a49fcc228cd482c2413dae3b5c1ba9be9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caea218cbef627b61e4c490eedabccdadff2110ec48dd0ca98ed2d99bcd29ae1",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-08-19T09:19:01Z",
    "title_canon_sha256": "6584cae8f2fd4dcab4b0a15a7a62e7553c2ad3cbc2a7a0229b568859d2fc43c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3250",
    "kind": "arxiv",
    "version": 1
  }
}