Pith Number

pith:CL7S6VIF

pith:2015:CL7S6VIF7JLS26VLDQICKD4B63

not attested not anchored not stored refs pending

Vanishing results for the Aomoto complex of real hyperplane arrangements via minimality

Masahiko Yoshinaga, Pauline Bailet

arxiv:1512.05318 v1 · 2015-12-16 · 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{CL7S6VIF7JLS26VLDQICKD4B63}

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	2026-05-17T23:53:52.624652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12ff2f5505fa572d7aab1c10250f81f6c0d0b7953e6de60138b7ad0417614797

Aliases

arxiv: 1512.05318 · arxiv_version: 1512.05318v1 · doi: 10.48550/arxiv.1512.05318 · pith_short_12: CL7S6VIF7JLS · pith_short_16: CL7S6VIF7JLS26VL · pith_short_8: CL7S6VIF

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/CL7S6VIF7JLS26VLDQICKD4B63 \
  | 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: 12ff2f5505fa572d7aab1c10250f81f6c0d0b7953e6de60138b7ad0417614797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da46bfa7bbe625053f1b454a8ef7b7452c116fa04c09bde6c2eb4596a0b9a540",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-12-16T20:29:46Z",
    "title_canon_sha256": "8d2aa736affa367422761c330904de4ec3027b7f32c383f80bb3c44fc747f393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05318",
    "kind": "arxiv",
    "version": 1
  }
}