Pith Number

pith:S2ENSFVF

pith:2009:S2ENSFVFAZVE7C4DNCUGZUCPEY

not attested not anchored not stored refs pending

Algebraic K-theory, A^1-homotopy and Riemann-Roch theorems

Jo\"el Riou

arxiv:0907.2710 v2 · 2009-07-15 · 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{S2ENSFVFAZVE7C4DNCUGZUCPEY}

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	2026-05-18T02:58:02.945789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9688d916a5066a4f8b8368a86cd04f263cd3165fcd65abd24c24a6c9bd76568c

Aliases

arxiv: 0907.2710 · arxiv_version: 0907.2710v2 · doi: 10.48550/arxiv.0907.2710 · pith_short_12: S2ENSFVFAZVE · pith_short_16: S2ENSFVFAZVE7C4D · pith_short_8: S2ENSFVF

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/S2ENSFVFAZVE7C4DNCUGZUCPEY \
  | 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: 9688d916a5066a4f8b8368a86cd04f263cd3165fcd65abd24c24a6c9bd76568c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5cff8b5bed99fed28492214cf7c9df41caa9f7862987665aa8e371cb3e2b169",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2009-07-15T21:22:55Z",
    "title_canon_sha256": "b2e52e4a6ef25ee3fd20a3d0fb8cf12eabe099957130de700741ee2c54203c8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2710",
    "kind": "arxiv",
    "version": 2
  }
}