Pith Number

pith:56INAQGW

pith:2010:56INAQGW4JLMRO2EMPZEOWN3X4

not attested not anchored not stored refs pending

The homotopy type of toric arrangements

Luca Moci, Simona Settepanella

arxiv:1009.3622 v2 · 2010-09-19 · math.AT · math.GT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56INAQGW4JLMRO2EMPZEOWN3X4}

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	2026-05-18T04:38:15.254951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef90d040d6e256c8bb4463f24759bbbf0c575b19f45464c5aadb323ca51ced64

Aliases

arxiv: 1009.3622 · arxiv_version: 1009.3622v2 · doi: 10.48550/arxiv.1009.3622 · pith_short_12: 56INAQGW4JLM · pith_short_16: 56INAQGW4JLMRO2E · pith_short_8: 56INAQGW

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/56INAQGW4JLMRO2EMPZEOWN3X4 \
  | 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: ef90d040d6e256c8bb4463f24759bbbf0c575b19f45464c5aadb323ca51ced64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce333b0f6b8959f11de80ea1bf283411c23bb329a8e9790b1c30985f18cda9c1",
    "cross_cats_sorted": [
      "math.GT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-09-19T09:33:08Z",
    "title_canon_sha256": "7f70918c98b11f6a92bb26cfd9823e76d944bc08c74a494136790dec0090f078"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3622",
    "kind": "arxiv",
    "version": 2
  }
}