Pith Number

pith:I67SHU7P

pith:2018:I67SHU7PTGKGZMYXFFFWF5FC62

not attested not anchored not stored refs pending

NIL-affine crystallographic actions of virtually polycyclic groups

Jonas Der\'e

arxiv:1810.11290 v1 · 2018-10-26 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I67SHU7PTGKGZMYXFFFWF5FC62}

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	2026-05-18T00:02:14.584459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47bf23d3ef99946cb317294b62f4a2f6ab2c4e2f76fa7dd29f96095ddfa8696f

Aliases

arxiv: 1810.11290 · arxiv_version: 1810.11290v1 · doi: 10.48550/arxiv.1810.11290 · pith_short_12: I67SHU7PTGKG · pith_short_16: I67SHU7PTGKGZMYX · pith_short_8: I67SHU7P

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/I67SHU7PTGKGZMYXFFFWF5FC62 \
  | 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: 47bf23d3ef99946cb317294b62f4a2f6ab2c4e2f76fa7dd29f96095ddfa8696f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52cf8ef0ea7023d835fcdcb91cf6ad0396e4b88e6e73d7a0d469c6fe36b48055",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-10-26T12:35:29Z",
    "title_canon_sha256": "14ad72709532c1ba14b2d1d3eac685c5f2c2760267d33f08e27d6c32da5c15d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11290",
    "kind": "arxiv",
    "version": 1
  }
}