Pith Number

pith:OE45OHDE

pith:2015:OE45OHDEL6OOA6GF3D56PRYGMQ

not attested not anchored not stored refs pending

On the relationship between depth and cohomological dimension

Hailong Dao, Shunsuke Takagi

arxiv:1502.06077 v2 · 2015-02-21 · math.AC · 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{OE45OHDEL6OOA6GF3D56PRYGMQ}

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	2026-05-17T23:53:13.946039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7139d71c645f9ce078c5d8fbe7c7066415e67368112ded314f76669b876dbb47

Aliases

arxiv: 1502.06077 · arxiv_version: 1502.06077v2 · doi: 10.48550/arxiv.1502.06077 · pith_short_12: OE45OHDEL6OO · pith_short_16: OE45OHDEL6OOA6GF · pith_short_8: OE45OHDE

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/OE45OHDEL6OOA6GF3D56PRYGMQ \
  | 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: 7139d71c645f9ce078c5d8fbe7c7066415e67368112ded314f76669b876dbb47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8942443711d9a254729abd1915f885b237402c52cc533c0d8c88bed7ebcc60b8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-02-21T07:26:18Z",
    "title_canon_sha256": "3380350f111746de65106594f5efd788a5240494ca81b32773127ba4c201662f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06077",
    "kind": "arxiv",
    "version": 2
  }
}