Pith Number

pith:IZL6KIBM

pith:2012:IZL6KIBMQH4ZNI7IYDKENCT4SH

not attested not anchored not stored refs pending

Noncommutative stable homotopy and stable infinity categories

Snigdhayan Mahanta

arxiv:1211.6576 v5 · 2012-11-28 · math.OA · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZL6KIBMQH4ZNI7IYDKENCT4SH}

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	2026-05-18T00:43:09.983570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4657e5202c81f996a3e8c0d4468a7c91c9f13b86a385ddc525811ec60c8e73a2

Aliases

arxiv: 1211.6576 · arxiv_version: 1211.6576v5 · doi: 10.48550/arxiv.1211.6576 · pith_short_12: IZL6KIBMQH4Z · pith_short_16: IZL6KIBMQH4ZNI7I · pith_short_8: IZL6KIBM

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/IZL6KIBMQH4ZNI7IYDKENCT4SH \
  | 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: 4657e5202c81f996a3e8c0d4468a7c91c9f13b86a385ddc525811ec60c8e73a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4545acf71c9c7b062376d103bb5f672ac16c5e210d706d4a68ecfdf0f84a8c7e",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-11-28T11:10:00Z",
    "title_canon_sha256": "6cae66c52266f93f0e948764b977b4f90b8f07788f2b1fa10003ff67287270c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6576",
    "kind": "arxiv",
    "version": 5
  }
}