Pith Number

pith:E5NPRTVD

pith:2019:E5NPRTVDHMJWKVBJYTPFHYX4TI

not attested not anchored not stored refs pending

C_2-equivariant stable homotopy from real motivic stable homotopy

Jay Shah, Mark Behrens

arxiv:1908.08378 v3 · 2019-08-22 · 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{E5NPRTVDHMJWKVBJYTPFHYX4TI}

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	2026-07-05T01:23:05.214280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

275af8cea33b13655429c4de53e2fc9a122a45b7c19efe16e5df16e58ed1616e

Aliases

arxiv: 1908.08378 · arxiv_version: 1908.08378v3 · doi: 10.48550/arxiv.1908.08378 · pith_short_12: E5NPRTVDHMJW · pith_short_16: E5NPRTVDHMJWKVBJ · pith_short_8: E5NPRTVD

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/E5NPRTVDHMJWKVBJYTPFHYX4TI \
  | 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: 275af8cea33b13655429c4de53e2fc9a122a45b7c19efe16e5df16e58ed1616e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01d0337bb806660f09180bc739bc9a39c4ec19f266948604d7bef1ebcfd49058",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-08-22T13:49:14Z",
    "title_canon_sha256": "3dfe03edc5d2671003943dc894c1f94f6db0bb0b0f2b0f6475f40350fef966f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08378",
    "kind": "arxiv",
    "version": 3
  }
}