Pith Number

pith:K4SAEZLD

pith:2017:K4SAEZLDWBX5XCKSA4O63TGZSO

not attested not anchored not stored refs pending

On arithmetic of plane trees

Yury Kochetkov

arxiv:1711.03393 v1 · 2017-11-09 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4SAEZLDWBX5XCKSA4O63TGZSO}

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	2026-05-18T00:30:56.271886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5724026563b06fdb8952071dedccd993a18a4ddafa515fa4e5364bfed2dfc973

Aliases

arxiv: 1711.03393 · arxiv_version: 1711.03393v1 · doi: 10.48550/arxiv.1711.03393 · pith_short_12: K4SAEZLDWBX5 · pith_short_16: K4SAEZLDWBX5XCKS · pith_short_8: K4SAEZLD

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/K4SAEZLDWBX5XCKSA4O63TGZSO \
  | 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: 5724026563b06fdb8952071dedccd993a18a4ddafa515fa4e5364bfed2dfc973

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca981e8b284fb7d5c23b1d5f11ba4cbb9d1df6ffbad2135f94bcd08a16051e8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-09T14:43:55Z",
    "title_canon_sha256": "666d0d0d8fc8388f9ca72eee05a060e93087df49f8247e20539abcd27262c21d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03393",
    "kind": "arxiv",
    "version": 1
  }
}