Pith Number

pith:ZLJINIPA

pith:2017:ZLJINIPAZGKD5DXX5TZMDJUI7I

not attested not anchored not stored refs pending

The Distribution of Knots in the Petaluma Model

Chaim Even-Zohar, Joel Hass, Nati Linial, Tahl Nowik

arxiv:1706.06571 v3 · 2017-06-20 · math.GT · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLJINIPAZGKD5DXX5TZMDJUI7I}

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	2026-05-18T00:02:36.374788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cad286a1e0c9943e8ef7ecf2c1a688fa0c6640cb84f37eafed9ce022c097dd32

Aliases

arxiv: 1706.06571 · arxiv_version: 1706.06571v3 · doi: 10.48550/arxiv.1706.06571 · pith_short_12: ZLJINIPAZGKD · pith_short_16: ZLJINIPAZGKD5DXX · pith_short_8: ZLJINIPA

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/ZLJINIPAZGKD5DXX5TZMDJUI7I \
  | 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: cad286a1e0c9943e8ef7ecf2c1a688fa0c6640cb84f37eafed9ce022c097dd32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f64d3b0c19468edb3c5d20d355498465695415539e8b82ad0948a78cdad99efe",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-06-20T17:53:39Z",
    "title_canon_sha256": "ff9b1910d0761e73101c7cd98f67a0c0c22d452221b6df278213f8c319ab5701"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06571",
    "kind": "arxiv",
    "version": 3
  }
}