Pith Number

pith:TV2F5ALN

pith:2017:TV2F5ALNBMLEIRM5NY7663T3N6

not attested not anchored not stored refs pending

The motivic Hopf map solves the homotopy limit problem for $K$-theory

Markus Spitzweck, Oliver R\"ondigs, Paul Arne {\O}stv{\ae}r

arxiv:1701.06144 v1 · 2017-01-22 · 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{TV2F5ALNBMLEIRM5NY7663T3N6}

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	2026-05-18T00:52:19.157828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d745e816d0b1644459d6e3fef6e7b6fa39cfe5106d20e5d44a90052ac383e18

Aliases

arxiv: 1701.06144 · arxiv_version: 1701.06144v1 · doi: 10.48550/arxiv.1701.06144 · pith_short_12: TV2F5ALNBMLE · pith_short_16: TV2F5ALNBMLEIRM5 · pith_short_8: TV2F5ALN

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/TV2F5ALNBMLEIRM5NY7663T3N6 \
  | 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: 9d745e816d0b1644459d6e3fef6e7b6fa39cfe5106d20e5d44a90052ac383e18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d51fc01f617afc49e29a3680929a99b0f9ac188ee698df628080c768ac2a1f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2017-01-22T09:48:46Z",
    "title_canon_sha256": "090d2f91981b93bdd4f9bee274af30e2d5354166b728d3e6b589ee3fc933ca74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06144",
    "kind": "arxiv",
    "version": 1
  }
}