Pith Number

pith:3MSY2PJU

pith:2019:3MSY2PJULUWFBGVJHEY5SQ6TOW

not attested not anchored not stored refs pending

Nonleaf Patterns in Trees: Protected Nodes and Fine Numbers

Nachum Dershowitz

arxiv:1908.04329 v1 · 2019-08-12 · cs.DM · 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{3MSY2PJULUWFBGVJHEY5SQ6TOW}

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	2026-07-05T01:13:54.172240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db258d3d345d2c509aa93931d943d375820a8a416cec5f321c542ec8e2def22f

Aliases

arxiv: 1908.04329 · arxiv_version: 1908.04329v1 · doi: 10.48550/arxiv.1908.04329 · pith_short_12: 3MSY2PJULUWF · pith_short_16: 3MSY2PJULUWFBGVJ · pith_short_8: 3MSY2PJU

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/3MSY2PJULUWFBGVJHEY5SQ6TOW \
  | 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: db258d3d345d2c509aa93931d943d375820a8a416cec5f321c542ec8e2def22f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fa5d8d71b003a6632d19bf5f0034aca4ac25e425fd95a4eeee9de65176d2136",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2019-08-12T18:32:27Z",
    "title_canon_sha256": "97c689ce230e369d5e3810d2f161aca5216ce0cdb314ca3af1e342df02c05d47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04329",
    "kind": "arxiv",
    "version": 1
  }
}