Pith Number

pith:XVMBHEMF

pith:2010:XVMBHEMFLTXPAFVRXFXMCKTFSD

not attested not anchored not stored refs pending

Invariance under twisting for crossed products

Florin Panaite

arxiv:1008.0123 v1 · 2010-07-31 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XVMBHEMFLTXPAFVRXFXMCKTFSD}

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	2026-05-18T04:42:44.012896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd581391855ceef016b1b96ec12a6590e6ee3dda99a28083a341c257f63a4391

Aliases

arxiv: 1008.0123 · arxiv_version: 1008.0123v1 · doi: 10.48550/arxiv.1008.0123 · pith_short_12: XVMBHEMFLTXP · pith_short_16: XVMBHEMFLTXPAFVR · pith_short_8: XVMBHEMF

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/XVMBHEMFLTXPAFVRXFXMCKTFSD \
  | 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: bd581391855ceef016b1b96ec12a6590e6ee3dda99a28083a341c257f63a4391

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef4384c201d6332ab13b0e147d5174944e453f3cbf536334d470ea3f0c664329",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-07-31T21:23:26Z",
    "title_canon_sha256": "df0c1471ab85654e5fb956a63af07d4f223a85b57c7546cdc90e373a87de141d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0123",
    "kind": "arxiv",
    "version": 1
  }
}