Pith Number

pith:R36W4PYK

pith:2015:R36W4PYKEDQWBVX5XXXTTQCTEM

not attested not anchored not stored refs pending

On low-dimensional manifolds with isometric $\widetilde{\mathrm{U}}(p,q)$-actions

Gestur \'Olafsson, Raul Quiroga-Barranco

arxiv:1503.01483 v1 · 2015-03-04 · math.DG · 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{R36W4PYKEDQWBVX5XXXTTQCTEM}

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	2026-05-18T02:25:33.535679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8efd6e3f0a20e160d6fdbdef39c053232ffda928f19ee33841800fd1ab949f50

Aliases

arxiv: 1503.01483 · arxiv_version: 1503.01483v1 · doi: 10.48550/arxiv.1503.01483 · pith_short_12: R36W4PYKEDQW · pith_short_16: R36W4PYKEDQWBVX5 · pith_short_8: R36W4PYK

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/R36W4PYKEDQWBVX5XXXTTQCTEM \
  | 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: 8efd6e3f0a20e160d6fdbdef39c053232ffda928f19ee33841800fd1ab949f50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43a6a037bc266842a8e7a96dab0ac7a40fe5f24bcee80f239503ea4b219c6330",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-03-04T22:02:16Z",
    "title_canon_sha256": "0d621a61bd56e30f76d8f0f131011b89b1f47fa2fb58cb794b38520fc40615b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01483",
    "kind": "arxiv",
    "version": 1
  }
}