Pith Number

pith:MTPWWBLK

pith:2012:MTPWWBLKTFVDXI2KF4OJXXCTED

not attested not anchored not stored refs pending

Depth of cohomology support loci for quasi-projective varieties via orbifold pencils

A. Libgober, E. Artal Bartolo, J.I. Cogolludo-Agustin

arxiv:1203.2663 v1 · 2012-03-12 · math.AG · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTPWWBLKTFVDXI2KF4OJXXCTED}

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	2026-05-18T00:16:57.098279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64df6b056a996a3ba34a2f1c9bdc5320ca0dc61571125b498033797bad55f696

Aliases

arxiv: 1203.2663 · arxiv_version: 1203.2663v1 · doi: 10.48550/arxiv.1203.2663 · pith_short_12: MTPWWBLKTFVD · pith_short_16: MTPWWBLKTFVDXI2K · pith_short_8: MTPWWBLK

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/MTPWWBLKTFVDXI2KF4OJXXCTED \
  | 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: 64df6b056a996a3ba34a2f1c9bdc5320ca0dc61571125b498033797bad55f696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c54ea6363434fc2aab149e86ed3c4f4041b23f2778f36bdfe1a46c71c9cc8d7",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-12T21:51:07Z",
    "title_canon_sha256": "c4519ef3e96d16565315a9b6678bffa886a2e388106ca8ce64dd6a5c933ba4e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2663",
    "kind": "arxiv",
    "version": 1
  }
}