Pith Number

pith:5OCNY6PJ

pith:2019:5OCNY6PJ5C2VQ73COHV3VBZIB5

not attested not anchored not stored refs pending

On the infinite loop spaces of algebraic cobordism and the motivic sphere

Adeel A. Khan, Elden Elmanto, Marc Hoyois, Maria Yakerson, Tom Bachmann, Vladimir Sosnilo

arxiv:1911.02262 v5 · 2019-11-06 · math.AG · 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{5OCNY6PJ5C2VQ73COHV3VBZIB5}

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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

Modules over algebraic cobordism

Receipt and verification

First computed	2026-07-05T09:02:05.736295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb84dc79e9e8b5587f6271ebba87280f692662261db333d31387f8f26070bfbc

Aliases

arxiv: 1911.02262 · arxiv_version: 1911.02262v5 · doi: 10.48550/arxiv.1911.02262 · pith_short_12: 5OCNY6PJ5C2V · pith_short_16: 5OCNY6PJ5C2VQ73C · pith_short_8: 5OCNY6PJ

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/5OCNY6PJ5C2VQ73COHV3VBZIB5 \
  | 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: eb84dc79e9e8b5587f6271ebba87280f692662261db333d31387f8f26070bfbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95892a4e12289809fd3c1b4f5757e3093ac2e3a9b76531000be9819897fa8528",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-11-06T09:17:27Z",
    "title_canon_sha256": "c4f758f9f9e02a50ed101612b9d4b5aa584f1427509cc45ccd40bc95912e3cd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.02262",
    "kind": "arxiv",
    "version": 5
  }
}