Pith Number

pith:VLGYNU76

pith:2017:VLGYNU76ZASNUIAYOGEMPKSBRC

not attested not anchored not stored refs pending

Length of local cohomology of powers of ideals

Hailong Dao, Jonathan Monta\~no

arxiv:1705.05033 v3 · 2017-05-14 · 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{VLGYNU76ZASNUIAYOGEMPKSBRC}

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	2026-05-18T00:33:32.046625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aacd86d3fec824da20187188c7aa4188ae5194b48a8dae41a6ec0a4f66b90fce

Aliases

arxiv: 1705.05033 · arxiv_version: 1705.05033v3 · doi: 10.48550/arxiv.1705.05033 · pith_short_12: VLGYNU76ZASN · pith_short_16: VLGYNU76ZASNUIAY · pith_short_8: VLGYNU76

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/VLGYNU76ZASNUIAYOGEMPKSBRC \
  | 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: aacd86d3fec824da20187188c7aa4188ae5194b48a8dae41a6ec0a4f66b90fce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be893d27026c7f40f55b49c7c87d6625f9a05be087aedf2008f01151aac32398",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-05-14T22:46:23Z",
    "title_canon_sha256": "a6b6d35195243f5139f71be4a74e11d698971b13e5cec2b4a7f6b3b6d0c24ef8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05033",
    "kind": "arxiv",
    "version": 3
  }
}