Pith Number

pith:WESNTCL2

pith:2017:WESNTCL2NJBOQ3VYUVWEESLTK3

not attested not anchored not stored refs pending

On Modules Over Motivic Ring Spectra

Elden Elmanto, H{\aa}kon Kolderup

arxiv:1708.05651 v4 · 2017-08-18 · 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{WESNTCL2NJBOQ3VYUVWEESLTK3}

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

C_2-equivariant stable homotopy from real motivic stable homotopy

Receipt and verification

First computed	2026-07-05T01:12:58.856020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b124d9897a6a42e86eb8a56c42497356dcc8b7b41f575c79826102ebf4c71f45

Aliases

arxiv: 1708.05651 · arxiv_version: 1708.05651v4 · doi: 10.48550/arxiv.1708.05651 · pith_short_12: WESNTCL2NJBO · pith_short_16: WESNTCL2NJBOQ3VY · pith_short_8: WESNTCL2

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/WESNTCL2NJBOQ3VYUVWEESLTK3 \
  | 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: b124d9897a6a42e86eb8a56c42497356dcc8b7b41f575c79826102ebf4c71f45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02d52f874d8be4b760ac8b53d41074c6d842352df7e8fc43555d05345ed3b99d",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-08-18T15:36:38Z",
    "title_canon_sha256": "fbb2ce430364a2748569203128193d2679b7a0d92019161d93eed230f13341ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05651",
    "kind": "arxiv",
    "version": 4
  }
}