Pith Number

pith:CJFDFAXS

pith:2016:CJFDFAXSQUWZZ5VXUL5GROMB3T

not attested not anchored not stored refs pending

Half-Lie groups

Karl-Hermann Neeb, Timoth\'ee Marquis

arxiv:1607.07728 v2 · 2016-07-26 · math.RT · math.FA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJFDFAXSQUWZZ5VXUL5GROMB3T}

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	2026-05-18T00:14:29.822084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

124a3282f2852d9cf6b7a2fa68b981dcec1f97a7eeca0ead324ab3f56c2cf58c

Aliases

arxiv: 1607.07728 · arxiv_version: 1607.07728v2 · doi: 10.48550/arxiv.1607.07728 · pith_short_12: CJFDFAXSQUWZ · pith_short_16: CJFDFAXSQUWZZ5VX · pith_short_8: CJFDFAXS

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/CJFDFAXSQUWZZ5VXUL5GROMB3T \
  | 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: 124a3282f2852d9cf6b7a2fa68b981dcec1f97a7eeca0ead324ab3f56c2cf58c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e24f05f73fc3fd95eb589813118b08047da54c3f592a70cf4040e0a535eda73",
    "cross_cats_sorted": [
      "math.FA",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-07-26T14:38:59Z",
    "title_canon_sha256": "67ba0f1a88cec22bdd692bd74d2392fa4f7553180833fa3727004b104c32df91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07728",
    "kind": "arxiv",
    "version": 2
  }
}