Pith Number

pith:KH72H3LL

pith:2009:KH72H3LLHMPOXQIOLMHFIKOISW

not attested not anchored not stored refs pending

Minimal Lie group homomorphisms

A. Caminha

arxiv:0908.1259 v4 · 2009-08-09 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KH72H3LLHMPOXQIOLMHFIKOISW}

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	2026-05-18T03:44:36.572073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51ffa3ed6b3b1eebc10e5b0e5429c895a8eb123d1122722b53e0c2c62c5ae9aa

Aliases

arxiv: 0908.1259 · arxiv_version: 0908.1259v4 · doi: 10.48550/arxiv.0908.1259 · pith_short_12: KH72H3LLHMPO · pith_short_16: KH72H3LLHMPOXQIO · pith_short_8: KH72H3LL

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/KH72H3LLHMPOXQIOLMHFIKOISW \
  | 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: 51ffa3ed6b3b1eebc10e5b0e5429c895a8eb123d1122722b53e0c2c62c5ae9aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "914d252c01c15b5df9806aba91bf553a1a4498eda705b740f5340d0fcd2961e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-08-09T23:13:51Z",
    "title_canon_sha256": "c3b6147fb091e33d967b3a6f11d0dead870b533a59741fe61700b3217f511fa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1259",
    "kind": "arxiv",
    "version": 4
  }
}