Pith Number

pith:7A634LO5

pith:2010:7A634LO55J6CVX7DK64S2EKALX

not attested not anchored not stored refs pending

Equipartition of a measure by $(Z_p)^k$-invariant fans

R.N. Karasev

arxiv:1012.3524 v1 · 2010-12-16 · math.CO · math.AT · 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{7A634LO55J6CVX7DK64S2EKALX}

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	2026-05-18T04:18:53.132406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f83dbe2dddea7c2adfe357b92d11405df5f6b866e8682dfd839c94d80aef35c6

Aliases

arxiv: 1012.3524 · arxiv_version: 1012.3524v1 · doi: 10.48550/arxiv.1012.3524 · pith_short_12: 7A634LO55J6C · pith_short_16: 7A634LO55J6CVX7D · pith_short_8: 7A634LO5

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/7A634LO55J6CVX7DK64S2EKALX \
  | 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: f83dbe2dddea7c2adfe357b92d11405df5f6b866e8682dfd839c94d80aef35c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ea60d7ee97dcd244c6331f161e06c2dd7e9b58a38ef7ea833fef4ceebec04a2",
    "cross_cats_sorted": [
      "math.AT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-16T07:26:15Z",
    "title_canon_sha256": "9f56f5cb398a01ea94ffb561d46a83b30d29818cc82b5bbf3cb32b1544bbbff3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3524",
    "kind": "arxiv",
    "version": 1
  }
}