Pith Number

pith:6KOZTWAQ

pith:2011:6KOZTWAQRBSBMFJAG7MYS4LNSC

not attested not anchored not stored refs pending

On the Homology of Elementary Abelian Groups as Modules over the Steenrod Algebra

Shaun V. Ault, William Singer

arxiv:1105.1139 v1 · 2011-05-05 · 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{6KOZTWAQRBSBMFJAG7MYS4LNSC}

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	2026-05-18T02:48:10.241835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f29d99d810886416152037d989716d90b0c7d7cc51296e4427bfd691d6af5604

Aliases

arxiv: 1105.1139 · arxiv_version: 1105.1139v1 · doi: 10.48550/arxiv.1105.1139 · pith_short_12: 6KOZTWAQRBSB · pith_short_16: 6KOZTWAQRBSBMFJA · pith_short_8: 6KOZTWAQ

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/6KOZTWAQRBSBMFJAG7MYS4LNSC \
  | 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: f29d99d810886416152037d989716d90b0c7d7cc51296e4427bfd691d6af5604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f9cecd41b07e6e2f8f23b8fda740e94a8ee29761c49ed2f0960b71ea68108ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-05-05T18:27:49Z",
    "title_canon_sha256": "b4a95c7785c6f0c29f15a671f6bfe30dd524546bc0787b63df3aa143bf2f2c11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1139",
    "kind": "arxiv",
    "version": 1
  }
}