Pith Number

pith:NUXJZ6TW

pith:2012:NUXJZ6TWYUCEULSULYYUADRQ43

not attested not anchored not stored refs pending

GAP computations needed in the proof of [DNT, Theorem 6.1 (ii)]

Klaus Lux, Thomas Breuer

arxiv:1206.6212 v1 · 2012-06-27 · 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{NUXJZ6TWYUCEULSULYYUADRQ43}

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	2026-05-18T03:52:27.339637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d2e9cfa76c5044a2e545e31400e30e6fbdee86b4065842f8234ebd07e619787

Aliases

arxiv: 1206.6212 · arxiv_version: 1206.6212v1 · doi: 10.48550/arxiv.1206.6212 · pith_short_12: NUXJZ6TWYUCE · pith_short_16: NUXJZ6TWYUCEULSU · pith_short_8: NUXJZ6TW

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/NUXJZ6TWYUCEULSULYYUADRQ43 \
  | 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: 6d2e9cfa76c5044a2e545e31400e30e6fbdee86b4065842f8234ebd07e619787

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "948f833da6957e977675c424a9206f58df86a6d41532f2c37e19e71d29d79120",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-06-27T09:30:09Z",
    "title_canon_sha256": "6880ee842fd12c5ac5e6a50c4c84f4a3f307162cb035f211b7e1ab6494d65317"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6212",
    "kind": "arxiv",
    "version": 1
  }
}