Pith Number

pith:TEB73TNJ

pith:2015:TEB73TNJVTJMAE4QPPGYZSY3BV

not attested not anchored not stored refs pending

On the moduli spaces of left-invariant pseudo-Riemannian metrics on Lie groups

Akira Kubo, Hiroshi Tamaru, Kensuke Onda, Yuichiro Taketomi

arxiv:1509.08336 v1 · 2015-09-28 · 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{TEB73TNJVTJMAE4QPPGYZSY3BV}

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	2026-05-18T01:31:54.144162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9903fdcda9acd2c013907bcd8ccb1b0d704426c2a289eef41c5c2f7378237055

Aliases

arxiv: 1509.08336 · arxiv_version: 1509.08336v1 · doi: 10.48550/arxiv.1509.08336 · pith_short_12: TEB73TNJVTJM · pith_short_16: TEB73TNJVTJMAE4Q · pith_short_8: TEB73TNJ

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/TEB73TNJVTJMAE4QPPGYZSY3BV \
  | 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: 9903fdcda9acd2c013907bcd8ccb1b0d704426c2a289eef41c5c2f7378237055

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8de42a74ab68d944039c0cc1c015ebe9af323e29ac62044e722a67b2df26add",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-09-28T14:42:05Z",
    "title_canon_sha256": "a5f5005cf10b22d472a7cbcaf47e50eae03cfaefbd314d64d36195a9230bd5ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08336",
    "kind": "arxiv",
    "version": 1
  }
}