Pith Number

pith:O4DGXPYK

pith:2017:O4DGXPYK2YYV7TDENS7HLMUKXN

not attested not anchored not stored refs pending

The realization problem for J{\o}rgensen numbers

Ryosuke Yamazaki, Yasushi Yamashita

arxiv:1703.07732 v1 · 2017-03-22 · 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{O4DGXPYK2YYV7TDENS7HLMUKXN}

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	2026-05-17T23:52:44.543644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77066bbf0ad6315fcc646cbe75b28abb7b424539c4db635e6b0afbba7d2225b6

Aliases

arxiv: 1703.07732 · arxiv_version: 1703.07732v1 · doi: 10.48550/arxiv.1703.07732 · pith_short_12: O4DGXPYK2YYV · pith_short_16: O4DGXPYK2YYV7TDE · pith_short_8: O4DGXPYK

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/O4DGXPYK2YYV7TDENS7HLMUKXN \
  | 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: 77066bbf0ad6315fcc646cbe75b28abb7b424539c4db635e6b0afbba7d2225b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11c4aebeba139a32dbd9eb8ef10d211debd296dfdfcd9cda7d3de579c7c729a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-03-22T16:26:27Z",
    "title_canon_sha256": "4909682b32c6aae6a8254c374fc5ef085d86fc8854e8cfdf91ac689c3b094dca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07732",
    "kind": "arxiv",
    "version": 1
  }
}