Pith Number

pith:Z53XP3GK

pith:2021:Z53XP3GKYS6EANKI6KJRKOGGMD

not attested not anchored not stored refs pending

The cohomology of the mod 2 Steenrod algebra

John Rognes, Robert R. Bruner

arxiv:2109.13117 v2 · 2021-09-27 · 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{Z53XP3GKYS6EANKI6KJRKOGGMD}

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

The rank-five Peterson hit problem, the fifth Singer transfer, and a geometric generator in unoriented cobordism

Receipt and verification

First computed	2026-07-05T03:59:24.551912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf7777eccac4bc403548f2931538c660c31c2ea63450b346b548d6382c0e2b3d

Aliases

arxiv: 2109.13117 · arxiv_version: 2109.13117v2 · doi: 10.48550/arxiv.2109.13117 · pith_short_12: Z53XP3GKYS6E · pith_short_16: Z53XP3GKYS6EANKI · pith_short_8: Z53XP3GK

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/Z53XP3GKYS6EANKI6KJRKOGGMD \
  | 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: cf7777eccac4bc403548f2931538c660c31c2ea63450b346b548d6382c0e2b3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e7838a3dfd058adda4ae4aa11419f8a67821efc896891e512a4b066e0d000db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2021-09-27T15:10:46Z",
    "title_canon_sha256": "8ca50c6b3594989899413ac56fd38c82d238cb06c945808032464f19572f04b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.13117",
    "kind": "arxiv",
    "version": 2
  }
}