Pith Number

pith:ILIL7THX

pith:2008:ILIL7THXGSLWRXMTJLZ7YEABAM

not attested not anchored not stored refs pending

Exceptional (Z/2Z) x (Z/2Z)-symmetric spaces

Andreas Kollross

arxiv:0808.0306 v1 · 2008-08-03 · math.DG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILIL7THXGSLWRXMTJLZ7YEABAM}

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	2026-05-18T04:31:51.285987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42d0bfccf7349768dd934af3fc1001031a104484cfd0fc934e6b738e6d1a4608

Aliases

arxiv: 0808.0306 · arxiv_version: 0808.0306v1 · doi: 10.48550/arxiv.0808.0306 · pith_short_12: ILIL7THXGSLW · pith_short_16: ILIL7THXGSLWRXMT · pith_short_8: ILIL7THX

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/ILIL7THXGSLWRXMTJLZ7YEABAM \
  | 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: 42d0bfccf7349768dd934af3fc1001031a104484cfd0fc934e6b738e6d1a4608

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7325326c9011532c421b68d0685c53e7ee4b1d7431d3683ffabbb68464ba988d",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-08-03T09:19:14Z",
    "title_canon_sha256": "bcdf0664cb127e2fa5a869558dfa887b3f10c6b6b363b38fb2af850bd00d3a72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.0306",
    "kind": "arxiv",
    "version": 1
  }
}