Pith Number

pith:7SAYGK6F

pith:2016:7SAYGK6F4Q3MPOLNT2N6LKO6JS

not attested not anchored not stored refs pending

Z/2-equivariant and R-motivic stable stems

Daniel C. Isaksen, Daniel Dugger

arxiv:1603.09305 v1 · 2016-03-30 · 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{7SAYGK6F4Q3MPOLNT2N6LKO6JS}

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	2026-05-18T01:18:00.819648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc81832bc5e436c7b96d9e9be5a9de4ca9286622e458fb65cbd6100a2d74d58f

Aliases

arxiv: 1603.09305 · arxiv_version: 1603.09305v1 · doi: 10.48550/arxiv.1603.09305 · pith_short_12: 7SAYGK6F4Q3M · pith_short_16: 7SAYGK6F4Q3MPOLN · pith_short_8: 7SAYGK6F

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/7SAYGK6F4Q3MPOLNT2N6LKO6JS \
  | 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: fc81832bc5e436c7b96d9e9be5a9de4ca9286622e458fb65cbd6100a2d74d58f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9797c8d840b4c10145ec0cd1d324ffbe6cb151d788c46c5c5af4231f109eaced",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-03-30T18:42:26Z",
    "title_canon_sha256": "fc533a17deb8e532cf8969f648871a49d9078039e2efca8a34461b208f5498ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09305",
    "kind": "arxiv",
    "version": 1
  }
}