Pith Number

pith:Y4YYELDH

pith:2015:Y4YYELDHITGPUFG4Q7WG32BIIQ

not attested not anchored not stored refs pending

Length and multiplicity of the local cohomology with support in a hyperplane arrangement

Toshinori Oaku

arxiv:1509.01813 v1 · 2015-09-06 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4YYELDHITGPUFG4Q7WG32BIIQ}

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	2026-05-18T01:33:50.481079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c731822c6744ccfa14dc87ec6de8284428dc915b53d63ccae1d73ca5fe76cf8d

Aliases

arxiv: 1509.01813 · arxiv_version: 1509.01813v1 · doi: 10.48550/arxiv.1509.01813 · pith_short_12: Y4YYELDHITGP · pith_short_16: Y4YYELDHITGPUFG4 · pith_short_8: Y4YYELDH

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/Y4YYELDHITGPUFG4Q7WG32BIIQ \
  | 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: c731822c6744ccfa14dc87ec6de8284428dc915b53d63ccae1d73ca5fe76cf8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60ce1960a77c9d56b47aea1fe2380bed724a6923a8867a7e283ff185c4395da0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-06T13:52:41Z",
    "title_canon_sha256": "c10e75d03e646aeb102095d97e48276baf4fa4b2df17a4b56e2f0c91ee0802c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01813",
    "kind": "arxiv",
    "version": 1
  }
}