Pith Number

pith:TFMTRUYT

pith:2021:TFMTRUYTKN5FXBG6OXYL7Z26MG

not attested not anchored not stored refs pending

Motivic stable homotopy theory is strictly commutative at the characteristic

Tom Bachmann

arxiv:2111.02320 v2 · 2021-11-03 · math.KT · math.AG · 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{TFMTRUYTKN5FXBG6OXYL7Z26MG}

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.

Cited by

1 paper in Pith

Motivic Hochschild homology of mod 2 motivic cohomology over algebraically closed fields

Receipt and verification

First computed	2026-07-05T04:56:12.686377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

995938d313537a5b84de75f0bfe75e61b9a4b4e26aa6875a8fd80f18c2222e25

Aliases

arxiv: 2111.02320 · arxiv_version: 2111.02320v2 · doi: 10.48550/arxiv.2111.02320 · pith_short_12: TFMTRUYTKN5F · pith_short_16: TFMTRUYTKN5FXBG6 · pith_short_8: TFMTRUYT

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/TFMTRUYTKN5FXBG6OXYL7Z26MG \
  | 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: 995938d313537a5b84de75f0bfe75e61b9a4b4e26aa6875a8fd80f18c2222e25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81d30ed7dc968a153362bf688cce29c35c62db1d9eaabb01cdca9e205758e64c",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2021-11-03T16:13:06Z",
    "title_canon_sha256": "f8a1f1668d04d3d3e447eceb1c2c7d84a67ecb2cd2e733a596f1f6e4b1d4fac9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.02320",
    "kind": "arxiv",
    "version": 2
  }
}