Pith Number

pith:7UNGPS4Y

pith:2010:7UNGPS4Y5DW3LF4YIOO2EIKPME

not attested not anchored not stored refs pending

Vanishing of cohomology over Cohen--Macaulay rings

Henrik Holm, Lars Winther Christensen

arxiv:1006.1006 v2 · 2010-06-04 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7UNGPS4Y5DW3LF4YIOO2EIKPME}

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	2026-05-18T04:01:39.794426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd1a67cb98e8edb59798439da2214f61197886c32c1ba8238278186edf75c35f

Aliases

arxiv: 1006.1006 · arxiv_version: 1006.1006v2 · doi: 10.48550/arxiv.1006.1006 · pith_short_12: 7UNGPS4Y5DW3 · pith_short_16: 7UNGPS4Y5DW3LF4Y · pith_short_8: 7UNGPS4Y

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/7UNGPS4Y5DW3LF4YIOO2EIKPME \
  | 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: fd1a67cb98e8edb59798439da2214f61197886c32c1ba8238278186edf75c35f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cb5d0682c4d979153db847e28bb78b16e62406d1ba88985eae040d5c60b373a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-06-04T23:21:46Z",
    "title_canon_sha256": "59f9d3509f00575e1dc112a86854781c14a465ba93b056248d4edfe34dedc6c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1006",
    "kind": "arxiv",
    "version": 2
  }
}