Pith Number

pith:PJQWOZ3D

pith:2012:PJQWOZ3DYF2PCVBEROGTJJ6GCC

not attested not anchored not stored refs pending

The KH-Theory of Complete Simplicial Toric Varieties and the Algebraic K-Theory of Weighted Projective Spaces

Adam Massey

arxiv:1207.0123 v4 · 2012-06-30 · math.KT · 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{PJQWOZ3DYF2PCVBEROGTJJ6GCC}

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	2026-05-18T03:31:30.648549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a61676763c174f154248b8d34a7c6108b4e0d41dd61579796d1787974b5ed83

Aliases

arxiv: 1207.0123 · arxiv_version: 1207.0123v4 · doi: 10.48550/arxiv.1207.0123 · pith_short_12: PJQWOZ3DYF2P · pith_short_16: PJQWOZ3DYF2PCVBE · pith_short_8: PJQWOZ3D

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/PJQWOZ3DYF2PCVBEROGTJJ6GCC \
  | 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: 7a61676763c174f154248b8d34a7c6108b4e0d41dd61579796d1787974b5ed83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2db639a3eec8fdeefc38736bf85b952da8c06e9e820910aaafe933535c12ca1b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-06-30T18:17:13Z",
    "title_canon_sha256": "02fcc4dcdeb3e36b2890799a224998a46ffef0a5a60cb81115dfea9e67b54ac3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0123",
    "kind": "arxiv",
    "version": 4
  }
}