Pith Number

pith:SZMZUZUU

pith:2016:SZMZUZUUOXZTR7M3X3GXPUCTMS

not attested not anchored not stored refs pending

The first stable homotopy groups of motivic spheres

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

arxiv:1604.00365 v2 · 2016-04-01 · math.AT · math.AG · 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{SZMZUZUUOXZTR7M3X3GXPUCTMS}

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	2026-05-18T00:08:16.373466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96599a669475f338fd9bbecd77d05364979fb406d256eed3800d9f324cd24249

Aliases

arxiv: 1604.00365 · arxiv_version: 1604.00365v2 · doi: 10.48550/arxiv.1604.00365 · pith_short_12: SZMZUZUUOXZT · pith_short_16: SZMZUZUUOXZTR7M3 · pith_short_8: SZMZUZUU

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/SZMZUZUUOXZTR7M3X3GXPUCTMS \
  | 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: 96599a669475f338fd9bbecd77d05364979fb406d256eed3800d9f324cd24249

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "519bba03dfcdac4c882c5139dec5d9822fa4080896e793c2d686fac9bf93a631",
    "cross_cats_sorted": [
      "math.AG",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-04-01T19:17:11Z",
    "title_canon_sha256": "261509f579c4540fb972220779bcf0750c5bfa18465db9a794eace3644988464"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00365",
    "kind": "arxiv",
    "version": 2
  }
}