Pith Number

pith:EIO6MF46

pith:2022:EIO6MF46LS2NLLNWAFEFQOVRK7

not attested not anchored not stored refs pending

The Multiplicative Structures on Motivic Homotopy Groups

Bj{\o}rn Ian Dundas, Daniel C. Isaksen, Daniel Dugger, Paul Arne {\O}stv{\ae}r

arxiv:2212.03938 v1 · 2022-12-07 · math.AG · 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{EIO6MF46LS2NLLNWAFEFQOVRK7}

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	2026-07-05T08:41:36.362180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

221de6179e5cb4d5adb60148583ab157d867fb2546683068e552e2de53b40549

Aliases

arxiv: 2212.03938 · arxiv_version: 2212.03938v1 · doi: 10.48550/arxiv.2212.03938 · pith_short_12: EIO6MF46LS2N · pith_short_16: EIO6MF46LS2NLLNW · pith_short_8: EIO6MF46

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/EIO6MF46LS2NLLNWAFEFQOVRK7 \
  | 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: 221de6179e5cb4d5adb60148583ab157d867fb2546683068e552e2de53b40549

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c60f2c480443b152465866b82a7e69d1e819fddda11071029468cb131e81fd29",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-12-07T20:07:12Z",
    "title_canon_sha256": "86680249269677836f358f7888fe8f1f3015b555285a9422bd256d8eaa2043e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.03938",
    "kind": "arxiv",
    "version": 1
  }
}