Pith Number

pith:2MRHI654

pith:2013:2MRHI654GY3AFH6SF5G5IM2AS6

not attested not anchored not stored refs pending

Hochschild and cyclic (co)homology of superadditive categories

Deke Zhao

arxiv:1312.3709 v1 · 2013-12-13 · math.CT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MRHI654GY3AFH6SF5G5IM2AS6}

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	2026-05-18T03:04:47.878667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d322747bbc3636029fd22f4dd4334097b4474683f77df5a7652cf4b6d2d04dd0

Aliases

arxiv: 1312.3709 · arxiv_version: 1312.3709v1 · doi: 10.48550/arxiv.1312.3709 · pith_short_12: 2MRHI654GY3A · pith_short_16: 2MRHI654GY3AFH6S · pith_short_8: 2MRHI654

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/2MRHI654GY3AFH6SF5G5IM2AS6 \
  | 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: d322747bbc3636029fd22f4dd4334097b4474683f77df5a7652cf4b6d2d04dd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f853963766cdaa933f331ae7de1a3601cf94d4db50418d126352bf6f42324da",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-12-13T05:32:45Z",
    "title_canon_sha256": "68e41c8d5d5c9a7fe1f4e2dde285b545a1f9658849d8a8fe99337b9fa974bd8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3709",
    "kind": "arxiv",
    "version": 1
  }
}