Pith Number

pith:K5RA3ZI7

pith:2011:K5RA3ZI7DP6MAGVI3XIVQFCWDO

not attested not anchored not stored refs pending

The homotopy type of the polyhedral product for shifted complexes

Jelena Grbic, Stephen Theriault

arxiv:1109.2728 v2 · 2011-09-13 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K5RA3ZI7DP6MAGVI3XIVQFCWDO}

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	2026-05-18T04:10:36.344637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57620de51f1bfcc01aa8ddd15814561bb228ead6103c639ff5f70ffcfa936d76

Aliases

arxiv: 1109.2728 · arxiv_version: 1109.2728v2 · doi: 10.48550/arxiv.1109.2728 · pith_short_12: K5RA3ZI7DP6M · pith_short_16: K5RA3ZI7DP6MAGVI · pith_short_8: K5RA3ZI7

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/K5RA3ZI7DP6MAGVI3XIVQFCWDO \
  | 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: 57620de51f1bfcc01aa8ddd15814561bb228ead6103c639ff5f70ffcfa936d76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43d7d9b054f095f4c115bd033b4f7202db0cc7c311c6851f09a0c5ee1542a436",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-09-13T10:04:09Z",
    "title_canon_sha256": "001bd2ee67ff3541cfcdc7e91c946f81d87e6b9200d531a7b5c2ef70f96f736f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2728",
    "kind": "arxiv",
    "version": 2
  }
}