Pith Number

pith:PINCICW3

pith:2009:PINCICW3MWDR5R3DCWKSHQLSYU

not attested not anchored not stored refs pending

The Extremal Spheres Theorem

Alexey Glazyrin, Alexey Tarasov, Arseniy Akopyan, Oleg R. Musin

arxiv:0906.3823 v4 · 2009-06-20 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PINCICW3MWDR5R3DCWKSHQLSYU}

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	2026-05-18T04:25:26.156866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a1a240adb65871ec763159523c172c50df83924e13ef8f2629acb153a14ca44

Aliases

arxiv: 0906.3823 · arxiv_version: 0906.3823v4 · doi: 10.48550/arxiv.0906.3823 · pith_short_12: PINCICW3MWDR · pith_short_16: PINCICW3MWDR5R3D · pith_short_8: PINCICW3

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/PINCICW3MWDR5R3DCWKSHQLSYU \
  | 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: 7a1a240adb65871ec763159523c172c50df83924e13ef8f2629acb153a14ca44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17ae1f5194917a70c3f4f93fd168e3f1d0fb5d04ac111b567a4416cbf90d478a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2009-06-20T19:42:29Z",
    "title_canon_sha256": "2a9fb96b461a796a8bb47e87748bf15a59fd89db5ee2dbcd0c00cbd420cd8720"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3823",
    "kind": "arxiv",
    "version": 4
  }
}