Pith Number

pith:D47QD7XN

pith:2017:D47QD7XNWFZWN7EV3XXUBV2ADU

not attested not anchored not stored refs pending

On Functional Graphs of Quadratic Polynomials

Bernard Mans, Daniel Sutantyo, Igor E. Shparlinski, Min Sha

arxiv:1706.04734 v1 · 2017-06-15 · math.NT · 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{D47QD7XNWFZWN7EV3XXUBV2ADU}

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	2026-05-18T00:42:19.286178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f3f01feedb17366fc95ddef40d7401d09b774f61a407818cd757a02bcac00a5

Aliases

arxiv: 1706.04734 · arxiv_version: 1706.04734v1 · doi: 10.48550/arxiv.1706.04734 · pith_short_12: D47QD7XNWFZW · pith_short_16: D47QD7XNWFZWN7EV · pith_short_8: D47QD7XN

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/D47QD7XNWFZWN7EV3XXUBV2ADU \
  | 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: 1f3f01feedb17366fc95ddef40d7401d09b774f61a407818cd757a02bcac00a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b0c2ba7bf60b2acf81be7d9d1a0d01eda88b7dbe22a21e3a0e5ba4ecbf469b3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-15T04:26:46Z",
    "title_canon_sha256": "bbf680946131772754f06126e596f213213f5ba59e0da39b7cd50e6e882b2739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04734",
    "kind": "arxiv",
    "version": 1
  }
}