Pith Number

pith:LOPCMRBH

pith:2013:LOPCMRBHVQK6P64OUXSWNDUHAK

not attested not anchored not stored refs pending

Derived Hochschild functors over commutative adic algebras

Liran Shaul

arxiv:1307.5658 v2 · 2013-07-22 · math.AC · math.AG · 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{LOPCMRBHVQK6P64OUXSWNDUHAK}

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	2026-05-18T03:14:51.796427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b9e264427ac15e7fb8ea5e5668e8702b1020cf99068bffb52936e00b10a6917

Aliases

arxiv: 1307.5658 · arxiv_version: 1307.5658v2 · doi: 10.48550/arxiv.1307.5658 · pith_short_12: LOPCMRBHVQK6 · pith_short_16: LOPCMRBHVQK6P64O · pith_short_8: LOPCMRBH

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/LOPCMRBHVQK6P64OUXSWNDUHAK \
  | 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: 5b9e264427ac15e7fb8ea5e5668e8702b1020cf99068bffb52936e00b10a6917

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43dc99ac202a813209c522262d9f8b8f608ce65e84627bc79f059cd2ca40ada5",
    "cross_cats_sorted": [
      "math.AG",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-07-22T11:16:59Z",
    "title_canon_sha256": "946336df1ae490af5ae1a5f1b93d5804fb1e53166467f369c50eabbf7067089b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5658",
    "kind": "arxiv",
    "version": 2
  }
}