Pith Number

pith:ZHLSBE2G

pith:2019:ZHLSBE2G5RI2FKSIQNM7WUB2RH

not attested not anchored not stored refs pending

Searching for modular companions

Shashank Kanade

arxiv:1902.05199 v1 · 2019-02-14 · math.NT · 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{ZHLSBE2G5RI2FKSIQNM7WUB2RH}

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	2026-05-17T23:54:01.603912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9d7209346ec51a2aa488359fb503a89fadebf5ebda0b97249386967c5b091ab

Aliases

arxiv: 1902.05199 · arxiv_version: 1902.05199v1 · doi: 10.48550/arxiv.1902.05199 · pith_short_12: ZHLSBE2G5RI2 · pith_short_16: ZHLSBE2G5RI2FKSI · pith_short_8: ZHLSBE2G

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/ZHLSBE2G5RI2FKSIQNM7WUB2RH \
  | 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: c9d7209346ec51a2aa488359fb503a89fadebf5ebda0b97249386967c5b091ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c68ccdc47d1e4ed15786bc09dba48f627354987f4365c78a112259c4e87004d2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-02-14T03:10:39Z",
    "title_canon_sha256": "cd83a88ae82f23c0f2b8b2b5d4df68ba3e3b50f57836e369a582c37ffbfe6840"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.05199",
    "kind": "arxiv",
    "version": 1
  }
}