Pith Number

pith:MDGB7JHJ

pith:2012:MDGB7JHJQZKPOC6UQYHL6RRLAM

not attested not anchored not stored refs pending

Spherical subcategories in algebraic geometry

Andreas Hochenegger, David Ploog, Martin Kalck

arxiv:1208.4046 v6 · 2012-08-20 · math.CT · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDGB7JHJQZKPOC6UQYHL6RRLAM}

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	2026-05-18T00:26:02.655764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60cc1fa4e98654f70bd4860ebf462b0309348f156bc8c4fba066e0c866dec821

Aliases

arxiv: 1208.4046 · arxiv_version: 1208.4046v6 · doi: 10.48550/arxiv.1208.4046 · pith_short_12: MDGB7JHJQZKP · pith_short_16: MDGB7JHJQZKPOC6U · pith_short_8: MDGB7JHJ

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/MDGB7JHJQZKPOC6UQYHL6RRLAM \
  | 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: 60cc1fa4e98654f70bd4860ebf462b0309348f156bc8c4fba066e0c866dec821

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2a51d01bdc15cfd6b151b3ff46cbdf19c63212184b081df63e043f60a312f5e",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-08-20T16:07:10Z",
    "title_canon_sha256": "34294f7bf37521b5f36f696cc17a0d157f6a8fa31b2a37bf043a3fda5d77aa9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4046",
    "kind": "arxiv",
    "version": 6
  }
}