Pith Number

pith:WG3HDWS2

pith:2012:WG3HDWS2RCDEOHAO6RZ445P3SI

not attested not anchored not stored refs pending

Cohomological and projective dimensions

Matteo Varbaro

arxiv:1204.3280 v3 · 2012-04-15 · 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{WG3HDWS2RCDEOHAO6RZ445P3SI}

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	2026-05-17T23:53:18.793994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1b671da5a8886471c0ef473ce75fb9210678270c6db727aca52e6c430adf40e

Aliases

arxiv: 1204.3280 · arxiv_version: 1204.3280v3 · doi: 10.48550/arxiv.1204.3280 · pith_short_12: WG3HDWS2RCDE · pith_short_16: WG3HDWS2RCDEOHAO · pith_short_8: WG3HDWS2

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/WG3HDWS2RCDEOHAO6RZ445P3SI \
  | 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: b1b671da5a8886471c0ef473ce75fb9210678270c6db727aca52e6c430adf40e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "698216a14a20612be91d7705c64451e657c0d9098bfc192b0a89c625db5954a5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-04-15T15:34:14Z",
    "title_canon_sha256": "3a2204ceda4c39dbb77884dff54c9456f324b6f2bc390c4f4861a65b87b6950a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3280",
    "kind": "arxiv",
    "version": 3
  }
}