Pith Number

pith:BBWW5EUP

pith:2013:BBWW5EUPEZ6LTVNQKOAWO5WA2S

not attested not anchored not stored refs pending

The motivic Steenrod algebra in positive characteristic

Marc Hoyois, Paul Arne {\O}stv{\ae}r, Shane Kelly

arxiv:1305.5690 v2 · 2013-05-24 · 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{BBWW5EUPEZ6LTVNQKOAWO5WA2S}

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	2026-05-18T03:17:11.293636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

086d6e928f267cb9d5b053816776c0d4970d734a59a843fe939bbf2dd33adad2

Aliases

arxiv: 1305.5690 · arxiv_version: 1305.5690v2 · doi: 10.48550/arxiv.1305.5690 · pith_short_12: BBWW5EUPEZ6L · pith_short_16: BBWW5EUPEZ6LTVNQ · pith_short_8: BBWW5EUP

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/BBWW5EUPEZ6LTVNQKOAWO5WA2S \
  | 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: 086d6e928f267cb9d5b053816776c0d4970d734a59a843fe939bbf2dd33adad2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40c2146ae3063196dfaf79a67815813256f7903c0a8bb22e311202384643fd50",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-24T11:26:36Z",
    "title_canon_sha256": "c2d3f8c41e8044f7c574a933c691056391857c13f977293018ecf6a296d862c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5690",
    "kind": "arxiv",
    "version": 2
  }
}