Pith Number

pith:GCK45IID

pith:2011:GCK45IID37SYOKWNPZLI4SOY7E

not attested not anchored not stored refs pending

Cohomology of the second Voronoi compactification of A_4

Klaus Hulek, Orsola Tommasi

arxiv:1103.6169 v2 · 2011-03-31 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCK45IID37SYOKWNPZLI4SOY7E}

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	2026-05-18T03:51:14.478872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3095cea103dfe5872acd7e568e49d8f9106eaedf981cbb6a114783661d2af21c

Aliases

arxiv: 1103.6169 · arxiv_version: 1103.6169v2 · doi: 10.48550/arxiv.1103.6169 · pith_short_12: GCK45IID37SY · pith_short_16: GCK45IID37SYOKWN · pith_short_8: GCK45IID

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/GCK45IID37SYOKWNPZLI4SOY7E \
  | 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: 3095cea103dfe5872acd7e568e49d8f9106eaedf981cbb6a114783661d2af21c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a767e5bd121d2683af1eab1537880934e6d678b6c4f9e3d0e443c1043f3b11e9",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-31T13:15:37Z",
    "title_canon_sha256": "3a8e6b6f8762bf50e305343d8d5001e46acf53ade9499df0959bb1051a18f5fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.6169",
    "kind": "arxiv",
    "version": 2
  }
}