Pith Number

pith:6SVY37OE

pith:2015:6SVY37OEZDFTW54C3W4GODYW55

not attested not anchored not stored refs pending

Bordism of elementary abelian groups via inessential Brown-Peterson homology

Bernhard Hanke

arxiv:1503.04563 v2 · 2015-03-16 · math.AT · math.DG · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6SVY37OEZDFTW54C3W4GODYW55}

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	2026-05-18T00:44:28.432838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4ab8dfdc4c8cb3b7782ddb8670f16ef6f738a55556f102257b8677a2a457c5a

Aliases

arxiv: 1503.04563 · arxiv_version: 1503.04563v2 · doi: 10.48550/arxiv.1503.04563 · pith_short_12: 6SVY37OEZDFT · pith_short_16: 6SVY37OEZDFTW54C · pith_short_8: 6SVY37OE

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/6SVY37OEZDFTW54C3W4GODYW55 \
  | 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: f4ab8dfdc4c8cb3b7782ddb8670f16ef6f738a55556f102257b8677a2a457c5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c414bc76a31d51e33bfe94a54a322e359a8724c5c984adc0cb7c8f45d200d45f",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-03-16T08:20:40Z",
    "title_canon_sha256": "198f07db823881fe809c57c092a1e21ecd2620c8ffb7e80fa4e23710c2a0995e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04563",
    "kind": "arxiv",
    "version": 2
  }
}