Pith Number

pith:NHBXEYUO

pith:2016:NHBXEYUOZRWMAGLUYWOLGTQYFX

not attested not anchored not stored refs pending

A probabilistic heuristic for counting components of functional graphs of polynomials over finite fields

Derek Garton, Elisa Bellah, Erin Tannenbaum, Noah Walton

arxiv:1609.07667 v1 · 2016-09-24 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NHBXEYUOZRWMAGLUYWOLGTQYFX}

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	2026-05-18T00:26:18.505463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69c372628ecc6cc01974c59cb34e182dcffd75ae3de755285c610d836f7d4a00

Aliases

arxiv: 1609.07667 · arxiv_version: 1609.07667v1 · doi: 10.48550/arxiv.1609.07667 · pith_short_12: NHBXEYUOZRWM · pith_short_16: NHBXEYUOZRWMAGLU · pith_short_8: NHBXEYUO

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/NHBXEYUOZRWMAGLUYWOLGTQYFX \
  | 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: 69c372628ecc6cc01974c59cb34e182dcffd75ae3de755285c610d836f7d4a00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cf25110d110c3fe2a25cff850a5f4e2e1502a09e1741156db8c2d2771901247",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-09-24T20:08:57Z",
    "title_canon_sha256": "c281ad1d493703273be51d3f3c7b71be15787f9958519c0838d257f0d63cff67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07667",
    "kind": "arxiv",
    "version": 1
  }
}