Pith Number

pith:PY73WSSR

pith:2012:PY73WSSRZSUONX7FZLGTONHHVO

not attested not anchored not stored refs pending

Around the A.D. Alexandrov's theorem on a characterization of a sphere

Victor Alexandrov

arxiv:1212.5047 v1 · 2012-12-20 · math.DG · 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{PY73WSSRZSUONX7FZLGTONHHVO}

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	2026-05-18T03:38:04.038242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e3fbb4a51cca8e6dfe5cacd3734e7aba63466d2dc81222301382d62a9e6c995

Aliases

arxiv: 1212.5047 · arxiv_version: 1212.5047v1 · doi: 10.48550/arxiv.1212.5047 · pith_short_12: PY73WSSRZSUO · pith_short_16: PY73WSSRZSUONX7F · pith_short_8: PY73WSSR

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/PY73WSSRZSUONX7FZLGTONHHVO \
  | 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: 7e3fbb4a51cca8e6dfe5cacd3734e7aba63466d2dc81222301382d62a9e6c995

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13600797de123a4bea22b2e7fd22d58c00528bfac691fe21e9ef7c44f3690f1d",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-12-20T14:20:38Z",
    "title_canon_sha256": "ab09e1c160d47e4fd0ed5d2b05e54513cb094593f0c27e0596b570d1e8a4ce97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5047",
    "kind": "arxiv",
    "version": 1
  }
}