Pith Number

pith:VKMHEVHW

pith:2010:VKMHEVHW22LRXFKWWWYLZWGHZ5

not attested not anchored not stored refs pending

Spheres arising from multicomplexes

Satoshi Murai

arxiv:1002.1211 v3 · 2010-02-05 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKMHEVHW22LRXFKWWWYLZWGHZ5}

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.

Cited by

1 paper in Pith

Simplicial vs. cubical spheres, polyhedral products and the Nevo-Petersen conjecture

Receipt and verification

First computed	2026-05-18T04:22:40.447287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa987254f6d6971b9556b5b0bcd8c7cf406fa8d9514b17d8a83762eeb970f017

Aliases

arxiv: 1002.1211 · arxiv_version: 1002.1211v3 · doi: 10.48550/arxiv.1002.1211 · pith_short_12: VKMHEVHW22LR · pith_short_16: VKMHEVHW22LRXFKW · pith_short_8: VKMHEVHW

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/VKMHEVHW22LRXFKWWWYLZWGHZ5 \
  | 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: aa987254f6d6971b9556b5b0bcd8c7cf406fa8d9514b17d8a83762eeb970f017

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c457a2b23fc54dd87123d08b8b7145636f05dbf850fe58ccf1911f248e80f973",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-02-05T12:34:48Z",
    "title_canon_sha256": "3b32cddc89e4837d88c8e61acdb6d550c43f88f8af9c802713c30f684cf00fdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1211",
    "kind": "arxiv",
    "version": 3
  }
}