Pith Number

pith:TK4RJ2NE

pith:2019:TK4RJ2NEJIIJBA7IRJC2KD3QNE

not attested not anchored not stored refs pending

On projective $q^r$-divisible codes

Alfred Wassermann, Daniel Heinlein, Michael Kiermaier, Sascha Kurz, Thomas Honold

arxiv:1912.10147 v1 · 2019-12-20 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TK4RJ2NEJIIJBA7IRJC2KD3QNE}

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	2026-07-05T00:27:47.241663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ab914e9a44a109083e88a45a50f70691b2f5c626fe7d9f5bb2cd726ec35b9d1

Aliases

arxiv: 1912.10147 · arxiv_version: 1912.10147v1 · doi: 10.48550/arxiv.1912.10147 · pith_short_12: TK4RJ2NEJIIJ · pith_short_16: TK4RJ2NEJIIJBA7I · pith_short_8: TK4RJ2NE

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/TK4RJ2NEJIIJBA7IRJC2KD3QNE \
  | 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: 9ab914e9a44a109083e88a45a50f70691b2f5c626fe7d9f5bb2cd726ec35b9d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f5a238279e207de53db50ebbe57d51dc09c413854d1d7a1601ede5891cc42ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-12-20T23:40:28Z",
    "title_canon_sha256": "1166c1e6160b9cb6ddb9331844803bb4c52aa95ccb2b0979e3dd449e4f5f8aa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.10147",
    "kind": "arxiv",
    "version": 1
  }
}