Pith Number

pith:VQTN5D3Z

pith:2013:VQTN5D3ZJ4Q345XWZE5FTLL42M

not attested not anchored not stored refs pending

Simplicial complexes Alexander dual to boundaries of polytopes

Anton Ayzenberg

arxiv:1310.5487 v1 · 2013-10-21 · math.CO · 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{VQTN5D3ZJ4Q345XWZE5FTLL42M}

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	2026-05-18T03:09:35.425443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac26de8f794f21be76f6c93a59ad7cd32d4e30297d5ce0070ad79e8213a77943

Aliases

arxiv: 1310.5487 · arxiv_version: 1310.5487v1 · doi: 10.48550/arxiv.1310.5487 · pith_short_12: VQTN5D3ZJ4Q3 · pith_short_16: VQTN5D3ZJ4Q345XW · pith_short_8: VQTN5D3Z

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/VQTN5D3ZJ4Q345XWZE5FTLL42M \
  | 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: ac26de8f794f21be76f6c93a59ad7cd32d4e30297d5ce0070ad79e8213a77943

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3acbd1113a9d741f49c3b2f98d983bf35b26f2e0a4a6c0778c075b814af5f7c7",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-21T10:12:44Z",
    "title_canon_sha256": "5e1338d0aa380171d518f11842ff6b0f5be12d63e899eb07945d0c788f8e1e4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5487",
    "kind": "arxiv",
    "version": 1
  }
}