Pith Number

pith:BSHOVB7L

pith:2011:BSHOVB7LFRBUFZKLTA6L4RRTMP

not attested not anchored not stored refs pending

Toric Hirzebruch-Riemann-Roch via Ishida's theorem on the Todd genus

Hal Schenck

arxiv:1107.0489 v2 · 2011-07-03 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BSHOVB7LFRBUFZKLTA6L4RRTMP}

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	2026-05-18T02:47:53.272802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c8eea87eb2c4342e54b983cbe463363db6e374e9172838cae59ee38dad71d30

Aliases

arxiv: 1107.0489 · arxiv_version: 1107.0489v2 · doi: 10.48550/arxiv.1107.0489 · pith_short_12: BSHOVB7LFRBU · pith_short_16: BSHOVB7LFRBUFZKL · pith_short_8: BSHOVB7L

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/BSHOVB7LFRBUFZKLTA6L4RRTMP \
  | 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: 0c8eea87eb2c4342e54b983cbe463363db6e374e9172838cae59ee38dad71d30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6325987db270a64a5493e4c5b9620d5427c0c106d237268571a10f246f3bec5",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-03T19:49:19Z",
    "title_canon_sha256": "9b362614b3705f4284cba6d5a2c327cdd43fb35edd279849668ccad52037aee6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0489",
    "kind": "arxiv",
    "version": 2
  }
}