Pith Number

pith:DM65EKLR

pith:2010:DM65EKLRGAVWCMCWTEC4LRGPCU

not attested not anchored not stored refs pending

Equipartition of several measures

R.N. Karasev

arxiv:1011.4762 v7 · 2010-11-22 · math.MG · math.AT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DM65EKLRGAVWCMCWTEC4LRGPCU}

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	2026-05-18T03:20:59.056818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b3dd22971302b6130569905c5c4cf153efb2a1813db2640a937cc7972a1ba34

Aliases

arxiv: 1011.4762 · arxiv_version: 1011.4762v7 · doi: 10.48550/arxiv.1011.4762 · pith_short_12: DM65EKLRGAVW · pith_short_16: DM65EKLRGAVWCMCW · pith_short_8: DM65EKLR

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/DM65EKLRGAVWCMCWTEC4LRGPCU \
  | 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: 1b3dd22971302b6130569905c5c4cf153efb2a1813db2640a937cc7972a1ba34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de19440a971a88abeaffeb947f233acac290f2b6ed548bb0b7f105aa158deef2",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-11-22T10:08:02Z",
    "title_canon_sha256": "2085a5637ca3eefabb9df5e1385324e5771bf1ad3de504ab13bc14968b0e7c60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4762",
    "kind": "arxiv",
    "version": 7
  }
}