Pith Number

pith:QG2GVH4A

pith:2013:QG2GVH4A6LJVJM2MFBCULDV2MQ

not attested not anchored not stored refs pending

Radon-Nikod\'ym property and thick families of geodesics

Mikhail I. Ostrovskii

arxiv:1306.5807 v1 · 2013-06-24 · math.FA · 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{QG2GVH4A6LJVJM2MFBCULDV2MQ}

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	2026-05-18T02:50:32.463070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81b46a9f80f2d354b34c2845458eba640a307b4c09242413595256af888a45ba

Aliases

arxiv: 1306.5807 · arxiv_version: 1306.5807v1 · doi: 10.48550/arxiv.1306.5807 · pith_short_12: QG2GVH4A6LJV · pith_short_16: QG2GVH4A6LJVJM2M · pith_short_8: QG2GVH4A

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/QG2GVH4A6LJVJM2MFBCULDV2MQ \
  | 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: 81b46a9f80f2d354b34c2845458eba640a307b4c09242413595256af888a45ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1768b2882f26460ab7ed44be2f6c0a69cb4b6c522456e36b3dc70263619d526e",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-06-24T23:26:10Z",
    "title_canon_sha256": "3bc67e7f287d7aab70732e4e9f5d719887bb545cbe54476168ef40ce9b096449"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5807",
    "kind": "arxiv",
    "version": 1
  }
}