Pith Number

pith:QBSM6237

pith:2011:QBSM6237NX2PZWH6ABMNVTN3PW

not attested not anchored not stored refs pending

Relations among the kernels and images of {S}teenrod squares acting on right $\mathcal{A}$-modules

Shaun V. Ault

arxiv:1106.3012 v2 · 2011-06-15 · 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{QBSM6237NX2PZWH6ABMNVTN3PW}

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	2026-05-18T02:48:10.227222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8064cf6b7f6df4fcd8fe0058dacdbb7daa652aada2507f6be230179f1d6e176d

Aliases

arxiv: 1106.3012 · arxiv_version: 1106.3012v2 · doi: 10.48550/arxiv.1106.3012 · pith_short_12: QBSM6237NX2P · pith_short_16: QBSM6237NX2PZWH6 · pith_short_8: QBSM6237

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/QBSM6237NX2PZWH6ABMNVTN3PW \
  | 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: 8064cf6b7f6df4fcd8fe0058dacdbb7daa652aada2507f6be230179f1d6e176d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7e345df9cb76f55f9c134fa55965182bc5ec0e8d1a0d9d000203d12914cf51e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-06-15T16:06:34Z",
    "title_canon_sha256": "787bc399c63e28ad0999d941ed6214fc3cf336dba2486d9e8657292373f0642e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3012",
    "kind": "arxiv",
    "version": 2
  }
}