Pith Number

pith:PF7BZKS6

pith:2017:PF7BZKS6GD3XEKA42HZ3BRM3NW

not attested not anchored not stored refs pending

Second order logic on random rooted trees

Alexander E. Holroyd, Avi Levy, Joel Spencer, Moumanti Podder

arxiv:1706.06192 v1 · 2017-06-19 · math.PR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PF7BZKS6GD3XEKA42HZ3BRM3NW}

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	2026-05-18T00:42:04.004078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

797e1caa5e30f772281cd1f3b0c59b6db3da0db370a084b22223ae81d5de8ec6

Aliases

arxiv: 1706.06192 · arxiv_version: 1706.06192v1 · doi: 10.48550/arxiv.1706.06192 · pith_short_12: PF7BZKS6GD3X · pith_short_16: PF7BZKS6GD3XEKA4 · pith_short_8: PF7BZKS6

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/PF7BZKS6GD3XEKA42HZ3BRM3NW \
  | 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: 797e1caa5e30f772281cd1f3b0c59b6db3da0db370a084b22223ae81d5de8ec6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a82f145049265d8d05f1a90fc76965d0e8b4fc82c3faf24008f0a87c632493e3",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-19T22:00:44Z",
    "title_canon_sha256": "e010f5e4ae2aad638278a01fca85f40eed38d08b3b593eb7a43cd218af0c88e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06192",
    "kind": "arxiv",
    "version": 1
  }
}