Pith Number

pith:KZW2GW5D

pith:2016:KZW2GW5DUZV2JIXF6RX7DA2PPR

not attested not anchored not stored refs pending

On the zeroth stable $\mathbb{A}^1$-homotopy group of a smooth curve

Alexey Ananyevskiy

arxiv:1606.06210 v2 · 2016-06-20 · 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{KZW2GW5DUZV2JIXF6RX7DA2PPR}

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	2026-05-18T00:27:47.214287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

566da35ba3a66ba4a2e5f46ff1834f7c7c3a533244ac48722c4e7755a0dca383

Aliases

arxiv: 1606.06210 · arxiv_version: 1606.06210v2 · doi: 10.48550/arxiv.1606.06210 · pith_short_12: KZW2GW5DUZV2 · pith_short_16: KZW2GW5DUZV2JIXF · pith_short_8: KZW2GW5D

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/KZW2GW5DUZV2JIXF6RX7DA2PPR \
  | 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: 566da35ba3a66ba4a2e5f46ff1834f7c7c3a533244ac48722c4e7755a0dca383

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a4a8226625c7da9488297c66fc30ef82ee8e91d442c561bf2675e1dfa391933",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-06-20T17:06:14Z",
    "title_canon_sha256": "c625f4cb956553d57e23112217f0e8401c5c2cd23491249d98960917144d3687"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06210",
    "kind": "arxiv",
    "version": 2
  }
}