Pith Number

pith:S2NXVNHM

pith:2006:S2NXVNHMZS5GVARBVFND4XCDHW

not attested not anchored not stored refs pending

The Atiyah class, Hochschild cohomology and the Riemann-Roch theorem

Nikita Markarian

arxiv:math/0610553 v3 · 2006-10-18 · 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{S2NXVNHMZS5GVARBVFND4XCDHW}

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	2026-05-18T02:57:45.461380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

969b7ab4ecccba6a8221a95a3e5c433dbc53625a0229add88fb891c7ef69d21c

Aliases

arxiv: math/0610553 · arxiv_version: math/0610553v3 · doi: 10.48550/arxiv.math/0610553 · pith_short_12: S2NXVNHMZS5G · pith_short_16: S2NXVNHMZS5GVARB · pith_short_8: S2NXVNHM

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/S2NXVNHMZS5GVARBVFND4XCDHW \
  | 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: 969b7ab4ecccba6a8221a95a3e5c433dbc53625a0229add88fb891c7ef69d21c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb3f7f272fbf1a0e10b8649980d38ffe29672e75b64c16a0a8062fbc478a3e28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2006-10-18T13:28:16Z",
    "title_canon_sha256": "b48caf4048d76698d424fbdcd2f13f26c388aec8d802112f23286a3cd3bcf280"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610553",
    "kind": "arxiv",
    "version": 3
  }
}