Pith Number

pith:X2D3O4B7

pith:2012:X2D3O4B7XEFFXLYXNQJLWLBKX5

not attested not anchored not stored refs pending

Interpreting the Bokstedt smash product as the norm

Andrew J. Blumberg, Michael A. Hill, Teena Gerhardt, Tyler Lawson, Vigleik Angeltveit

arxiv:1206.4218 v2 · 2012-06-19 · math.AT · 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{X2D3O4B7XEFFXLYXNQJLWLBKX5}

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	2026-05-18T03:08:14.581522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be87b7703fb90a5baf176c12bb2c2abf587091084f43069d9a3c50d0228d8571

Aliases

arxiv: 1206.4218 · arxiv_version: 1206.4218v2 · doi: 10.48550/arxiv.1206.4218 · pith_short_12: X2D3O4B7XEFF · pith_short_16: X2D3O4B7XEFFXLYX · pith_short_8: X2D3O4B7

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/X2D3O4B7XEFFXLYXNQJLWLBKX5 \
  | 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: be87b7703fb90a5baf176c12bb2c2abf587091084f43069d9a3c50d0228d8571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9da95347574b169046cd973e1a85e5fdeb551d7e19602c1a67d412170562cfa",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-06-19T14:21:02Z",
    "title_canon_sha256": "bccc5a1a5f78fa24d8b330e283efd0c9443ba6a1abaec765a34ca75f85354eef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4218",
    "kind": "arxiv",
    "version": 2
  }
}