Pith Number

pith:3HS4NUQR

pith:2012:3HS4NUQRWPUTXXB6TP3B6WDPYM

not attested not anchored not stored refs pending

Hochschild Lefschetz Class for $D$-modules

Ajay Ramadoss, Hsian-Hua Tseng, Xiang Tang

arxiv:1203.6885 v2 · 2012-03-30 · math.KT · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HS4NUQRWPUTXXB6TP3B6WDPYM}

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	2026-05-18T02:56:19.476039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9e5c6d211b3e93bdc3e9bf61f586fc31923cdd577725deabe9514be4fa922ea

Aliases

arxiv: 1203.6885 · arxiv_version: 1203.6885v2 · doi: 10.48550/arxiv.1203.6885 · pith_short_12: 3HS4NUQRWPUT · pith_short_16: 3HS4NUQRWPUTXXB6 · pith_short_8: 3HS4NUQR

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/3HS4NUQRWPUTXXB6TP3B6WDPYM \
  | 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: d9e5c6d211b3e93bdc3e9bf61f586fc31923cdd577725deabe9514be4fa922ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "645a8f9655f30c05428c1482a9599baf200adbf4af93ef3f69b1365990f03eaa",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-03-30T18:38:59Z",
    "title_canon_sha256": "fc9df36ac646eceef17be3a0cb8748216f99ced3b087bdc9018f3bd3052ee447"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6885",
    "kind": "arxiv",
    "version": 2
  }
}