Pith Number

pith:FCK7JFSR

pith:2019:FCK7JFSRE6FWOXGWJIY6UZYLBK

not attested not anchored not stored refs pending

Holonomy groups of compact flat solvmanifolds

Alejandro Tolcachier

arxiv:1907.02021 v1 · 2019-07-03 · 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{FCK7JFSRE6FWOXGWJIY6UZYLBK}

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	2026-05-17T23:41:34.188731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2895f49651278b675cd64a31ea670b0a8a0061ef048db66a797ac589986635f6

Aliases

arxiv: 1907.02021 · arxiv_version: 1907.02021v1 · doi: 10.48550/arxiv.1907.02021 · pith_short_12: FCK7JFSRE6FW · pith_short_16: FCK7JFSRE6FWOXGW · pith_short_8: FCK7JFSR

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/FCK7JFSRE6FWOXGWJIY6UZYLBK \
  | 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: 2895f49651278b675cd64a31ea670b0a8a0061ef048db66a797ac589986635f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d7ba63b045c4fe99180e24492a0ebb66f8bf0e984b85d6b3ff1868471784d6f",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-07-03T16:37:58Z",
    "title_canon_sha256": "b61d0083385e76e5e2a34b7082bc87ea362d7eaa14f46dcb7e8e7782751d02af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02021",
    "kind": "arxiv",
    "version": 1
  }
}