Pith Number

pith:EKH4WYSV

pith:2009:EKH4WYSVMN3H6DLP2B3YC5V6AK

not attested not anchored not stored refs pending

Multiplicative 2-cocycles at the prime 2

Adam Hughes, Eric Peterson, JohnMark Lau

arxiv:0911.2811 v2 · 2009-11-14 · 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{EKH4WYSVMN3H6DLP2B3YC5V6AK}

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	2026-05-18T04:21:21.567781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

228fcb625563767f0d6fd0778176be029a93c083f192e205cb0f0b25dadb5ef0

Aliases

arxiv: 0911.2811 · arxiv_version: 0911.2811v2 · doi: 10.48550/arxiv.0911.2811 · pith_short_12: EKH4WYSVMN3H · pith_short_16: EKH4WYSVMN3H6DLP · pith_short_8: EKH4WYSV

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/EKH4WYSVMN3H6DLP2B3YC5V6AK \
  | 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: 228fcb625563767f0d6fd0778176be029a93c083f192e205cb0f0b25dadb5ef0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a8b7d4c6192791a9ecab2b7b0dfc91608c3ac939ae65be4ac05734098643da4",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-11-14T21:55:10Z",
    "title_canon_sha256": "aa95f243ea958b1952b23b8feb06c54db823d946657bdedb3c46a29e2af090f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2811",
    "kind": "arxiv",
    "version": 2
  }
}