Pith Number

pith:QVXIBDG2

pith:2013:QVXIBDG2SFWEO4G7DS2ULG4BSK

not attested not anchored not stored refs pending

Submaximal metric projective and metric affine structures

Boris Kruglikov, Vladimir Matveev

arxiv:1304.4426 v2 · 2013-04-16 · 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{QVXIBDG2SFWEO4G7DS2ULG4BSK}

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	2026-05-18T03:20:45.004672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

856e808cda916c4770df1cb5459b8192a217be6152621419827a08b44070bc5f

Aliases

arxiv: 1304.4426 · arxiv_version: 1304.4426v2 · doi: 10.48550/arxiv.1304.4426 · pith_short_12: QVXIBDG2SFWE · pith_short_16: QVXIBDG2SFWEO4G7 · pith_short_8: QVXIBDG2

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/QVXIBDG2SFWEO4G7DS2ULG4BSK \
  | 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: 856e808cda916c4770df1cb5459b8192a217be6152621419827a08b44070bc5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50bbf8fa453dceffcfddb498de595d50b56ec2177d978a82fcbf5544088d8a07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-04-16T13:06:22Z",
    "title_canon_sha256": "30dabfc4281d0eaa6231b045523d5b7c1c6cbe0bc5a82eb0373098d7d1ab4086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4426",
    "kind": "arxiv",
    "version": 2
  }
}