Pith Number

pith:ILTUZSHV

pith:2015:ILTUZSHVIITPU7UEO2OFJ3UKRL

not attested not anchored not stored refs pending

Multiplicativity of the $\mathcal{I}$-invariant and topology of glued arrangements

Beno\^it Guerville-Ball\'e

arxiv:1506.08227 v2 · 2015-06-26 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILTUZSHVIITPU7UEO2OFJ3UKRL}

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	2026-05-18T01:16:35.015782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42e74cc8f54226fa7e84769c54ee8a8ad30545189f0edf8c88aa2fd4e5af7126

Aliases

arxiv: 1506.08227 · arxiv_version: 1506.08227v2 · doi: 10.48550/arxiv.1506.08227 · pith_short_12: ILTUZSHVIITP · pith_short_16: ILTUZSHVIITPU7UE · pith_short_8: ILTUZSHV

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/ILTUZSHVIITPU7UEO2OFJ3UKRL \
  | 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: 42e74cc8f54226fa7e84769c54ee8a8ad30545189f0edf8c88aa2fd4e5af7126

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6fc78a43c9a85d3d56c07316794b5e3723266c24bdf44c0a1f1ce76de7777f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-06-26T22:13:19Z",
    "title_canon_sha256": "76fbb781fb7ddafa73e06e52d5a001114865bd6814866b9120c8fe6cc7f8e8ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08227",
    "kind": "arxiv",
    "version": 2
  }
}