Pith Number

pith:ROR5TBDO

pith:2007:ROR5TBDOGSPHDTAHVTUAHEW2R4

not attested not anchored not stored refs pending

The $K$-theory of toric varieties

Charles Weibel, Christian Haesemeyer, Guillermo Corti\~nas, Mark E. Walker

arxiv:0709.2087 v1 · 2007-09-13 · 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{ROR5TBDOGSPHDTAHVTUAHEW2R4}

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	2026-05-18T04:16:31.100919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ba3d9846e349e71cc07ace80392da8f3f7725d4e7f9d85d423f8db5b9086a5b

Aliases

arxiv: 0709.2087 · arxiv_version: 0709.2087v1 · doi: 10.48550/arxiv.0709.2087 · pith_short_12: ROR5TBDOGSPH · pith_short_16: ROR5TBDOGSPHDTAH · pith_short_8: ROR5TBDO

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/ROR5TBDOGSPHDTAHVTUAHEW2R4 \
  | 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: 8ba3d9846e349e71cc07ace80392da8f3f7725d4e7f9d85d423f8db5b9086a5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e30229b7a9337f334999a630f56518ed0e8506926acf8df04b75f61947a912ee",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2007-09-13T14:40:03Z",
    "title_canon_sha256": "77881867260d6dcf01d87afd3cc8a6e4c9f55e906f8e806b38d63f2ef8ebe770"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.2087",
    "kind": "arxiv",
    "version": 1
  }
}