Pith Number

pith:ZH3QFQBM

pith:2013:ZH3QFQBMFF4J63ISR2YD5CIFG3

not attested not anchored not stored refs pending

On the Action of the Symmetric Group on the Cohomology of Groups Related to (Virtual) Braids

Peter Lee

arxiv:1304.4645 v2 · 2013-04-16 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZH3QFQBMFF4J63ISR2YD5CIFG3}

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	2026-05-18T03:19:01.172840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9f702c02c29789f6d128eb03e890536c796d359e3d76abb6ab4f1fc2c9d8ecb

Aliases

arxiv: 1304.4645 · arxiv_version: 1304.4645v2 · doi: 10.48550/arxiv.1304.4645 · pith_short_12: ZH3QFQBMFF4J · pith_short_16: ZH3QFQBMFF4J63IS · pith_short_8: ZH3QFQBM

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/ZH3QFQBMFF4J63ISR2YD5CIFG3 \
  | 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: c9f702c02c29789f6d128eb03e890536c796d359e3d76abb6ab4f1fc2c9d8ecb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ce8f8afa08c304db77ec7b63cbaea01eb0e0b9a72abe95ca238350a1f015406",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-04-16T23:41:48Z",
    "title_canon_sha256": "ead4af8c6a23bd988358381f3a54a616c51f04c09cffa353e283041ba5997480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4645",
    "kind": "arxiv",
    "version": 2
  }
}