Pith Number

pith:MR4QYVJP

pith:2010:MR4QYVJPY3DW5XBZHIBDZ6U4CB

not attested not anchored not stored refs pending

Extensions of theorems of Rattray and Makeev

Pavle Blagojevi\'c, Roman Karasev

arxiv:1011.0869 v2 · 2010-11-03 · math.AT · 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{MR4QYVJPY3DW5XBZHIBDZ6U4CB}

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	2026-05-18T03:37:53.462669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64790c552fc6c76edc393a023cfa9c104758fe3f6106f39606207817ee3b7d4e

Aliases

arxiv: 1011.0869 · arxiv_version: 1011.0869v2 · doi: 10.48550/arxiv.1011.0869 · pith_short_12: MR4QYVJPY3DW · pith_short_16: MR4QYVJPY3DW5XBZ · pith_short_8: MR4QYVJP

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/MR4QYVJPY3DW5XBZHIBDZ6U4CB \
  | 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: 64790c552fc6c76edc393a023cfa9c104758fe3f6106f39606207817ee3b7d4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fa7af34aede7637e565ff93721a89e83dac70529a23751a79d1bc9d2f422734",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-11-03T13:08:14Z",
    "title_canon_sha256": "1f0eb9c2d861bac7c3bdbf46261fa29cb3380fc10477b2579c658ed30b9fae50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0869",
    "kind": "arxiv",
    "version": 2
  }
}