Pith Number

pith:55C3VNAT

pith:2019:55C3VNAT7NOLY6G6APVOTB253P

not attested not anchored not stored refs pending

Three-dimensional sol manifolds and complex kleinian groups

Juan Navarrete, Rene Garcia, Waldemar Barrera

arxiv:1903.03021 v1 · 2019-03-07 · math.DG · math.CV · 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{55C3VNAT7NOLY6G6APVOTB253P}

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	2026-05-17T23:51:50.370787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef45bab413fb5cbc78de03eae9875ddbc0fb62165298135c67680ee5b7dc1116

Aliases

arxiv: 1903.03021 · arxiv_version: 1903.03021v1 · doi: 10.48550/arxiv.1903.03021 · pith_short_12: 55C3VNAT7NOL · pith_short_16: 55C3VNAT7NOLY6G6 · pith_short_8: 55C3VNAT

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/55C3VNAT7NOLY6G6APVOTB253P \
  | 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: ef45bab413fb5cbc78de03eae9875ddbc0fb62165298135c67680ee5b7dc1116

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d165825e969f892f595955e373f6b7d1726bdfc26ec7c89ab291db2a4210574f",
    "cross_cats_sorted": [
      "math.CV",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-03-07T16:18:15Z",
    "title_canon_sha256": "cf8f03d58fa2aeb18db9f220d435323506163efc953500cd29dca4ec00349e7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03021",
    "kind": "arxiv",
    "version": 1
  }
}