Pith Number

pith:LRQFAAYW

pith:2008:LRQFAAYWINI5YIG4BJMQTA4BEH

not attested not anchored not stored refs pending

A generalized Hirzebruch Riemann-Roch theorem

Ajay C. Ramadoss

arxiv:0808.3265 v1 · 2008-08-24 · math.AG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRQFAAYWINI5YIG4BJMQTA4BEH}

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	2026-05-18T04:40:20.735509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c605003164351dc20dc0a5909838121c417750f8a3a132238300033958f55bc

Aliases

arxiv: 0808.3265 · arxiv_version: 0808.3265v1 · doi: 10.48550/arxiv.0808.3265 · pith_short_12: LRQFAAYWINI5 · pith_short_16: LRQFAAYWINI5YIG4 · pith_short_8: LRQFAAYW

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/LRQFAAYWINI5YIG4BJMQTA4BEH \
  | 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: 5c605003164351dc20dc0a5909838121c417750f8a3a132238300033958f55bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82bf969006ca2c9bfc8a0ae0076940c8c6ec239d09b056566ef1be1dd755eb3d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-08-24T18:44:01Z",
    "title_canon_sha256": "089279d15856c48bd3ef82122f54beeadcb94c199bedf30f8d1d708e57ecd4e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.3265",
    "kind": "arxiv",
    "version": 1
  }
}