Pith Number

pith:UR6XHH3O

pith:2005:UR6XHH3OPKJPAW5RKGMYCNYQZ6

not attested not anchored not stored refs pending

The Chevalley group G_{2}(2) of order 12096 and the octonionic root system of E_{7}

Mehmet Koca, Nazife O. Koca, Ramazan Koc

arxiv:hep-th/0509189 v2 · 2005-09-26 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UR6XHH3OPKJPAW5RKGMYCNYQZ6}

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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	2026-05-18T02:54:38.163143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a47d739f6e7a92f05bb15199813710cf839be258e7f6c27c8e732d6f6b8af6dc

Aliases

arxiv: hep-th/0509189 · arxiv_version: hep-th/0509189v2 · doi: 10.48550/arxiv.hep-th/0509189 · pith_short_12: UR6XHH3OPKJP · pith_short_16: UR6XHH3OPKJPAW5R · pith_short_8: UR6XHH3O

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/UR6XHH3OPKJPAW5RKGMYCNYQZ6 \
  | 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: a47d739f6e7a92f05bb15199813710cf839be258e7f6c27c8e732d6f6b8af6dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2cfc3fb75ce20da51063496eb68cbe64f376ec004522cd9633f20e41909d316",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-09-26T08:25:34Z",
    "title_canon_sha256": "16cdf38541c93764ec3abcd2617877a500d62d7dede6ac8da9dfa186757bd166"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0509189",
    "kind": "arxiv",
    "version": 2
  }
}