Pith Number

pith:3FHJGIO6

pith:2006:3FHJGIO6IS5IAEX4M2EGYXEFSR

not attested not anchored not stored refs pending

The relative Riemann-Roch theorem from Hochschild homology

Ajay C. Ramadoss

arxiv:math/0603127 v5 · 2006-03-06 · 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{3FHJGIO6IS5IAEX4M2EGYXEFSR}

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	2026-07-04T15:15:35.902874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d94e9321de44ba8012fc66886c5c859473719cd6e9d47e6570dcd26423ebedea

Aliases

arxiv: math/0603127 · arxiv_version: math/0603127v5 · doi: 10.48550/arxiv.math/0603127 · pith_short_12: 3FHJGIO6IS5I · pith_short_16: 3FHJGIO6IS5IAEX4 · pith_short_8: 3FHJGIO6

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/3FHJGIO6IS5IAEX4M2EGYXEFSR \
  | 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: d94e9321de44ba8012fc66886c5c859473719cd6e9d47e6570dcd26423ebedea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cf9b133e737156deee03a66e86867a51d3710499e4897ee59b86899e90ef427",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-03-06T04:02:37Z",
    "title_canon_sha256": "df813ea5309c6246049a314710663bdd01ffcbb0ca2f6d8f5bbf076568ac5140"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603127",
    "kind": "arxiv",
    "version": 5
  }
}