Pith Number

pith:MPVVUATT

pith:2012:MPVVUATTNHXBYXFCC5B4JAVS5S

not attested not anchored not stored refs pending

The codisc radius capacity

Kai Zehmisch

arxiv:1210.2378 v4 · 2012-10-08 · math.SG · 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{MPVVUATTNHXBYXFCC5B4JAVS5S}

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	2026-05-18T03:05:28.420742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63eb5a027369ee1c5ca21743c482b2ec9ee65c2331973f427846b6fbc0588817

Aliases

arxiv: 1210.2378 · arxiv_version: 1210.2378v4 · doi: 10.48550/arxiv.1210.2378 · pith_short_12: MPVVUATTNHXB · pith_short_16: MPVVUATTNHXBYXFC · pith_short_8: MPVVUATT

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/MPVVUATTNHXBYXFCC5B4JAVS5S \
  | 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: 63eb5a027369ee1c5ca21743c482b2ec9ee65c2331973f427846b6fbc0588817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd5b6684d21bca5dbf317f3c264f23159fbf1ea3bcc670dcdc06e2c8e7d28e6c",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-10-08T18:54:14Z",
    "title_canon_sha256": "5f06dc67651dca2c70ace1632a73ae7a39cfd8f6a46d71e74267044c48aa8e09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2378",
    "kind": "arxiv",
    "version": 4
  }
}