Pith Number

pith:YLLWCJB6

pith:2010:YLLWCJB6H5Y3OGQ4TVDUFV7HKB

not attested not anchored not stored refs pending

Operations on polyhedral products and a new topological construction of infinite families of toric manifolds

A. Bahri, F. R. Cohen, M. Bendersky, S. Gitler

arxiv:1011.0094 v5 · 2010-10-30 · math.AT · math.AG · math.CO · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YLLWCJB6H5Y3OGQ4TVDUFV7HKB}

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	2026-05-18T02:23:38.053681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2d761243e3f71b71a1c9d4742d7e75075d88c9a6dca74731928f0f6002f5d8e

Aliases

arxiv: 1011.0094 · arxiv_version: 1011.0094v5 · doi: 10.48550/arxiv.1011.0094 · pith_short_12: YLLWCJB6H5Y3 · pith_short_16: YLLWCJB6H5Y3OGQ4 · pith_short_8: YLLWCJB6

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/YLLWCJB6H5Y3OGQ4TVDUFV7HKB \
  | 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: c2d761243e3f71b71a1c9d4742d7e75075d88c9a6dca74731928f0f6002f5d8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "987ef9247d7621b0f04abcc3673b682cbc4613034a422e68e6670ff705bfd535",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-10-30T17:05:49Z",
    "title_canon_sha256": "b86fb2072fafd1833bdff238a53dd29afde6ae7dd78ffcb94d4fcc7b3783deca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0094",
    "kind": "arxiv",
    "version": 5
  }
}