Pith Number

pith:G2VPAGDN

pith:2017:G2VPAGDNHFPYITYJJAANFTKTIX

not attested not anchored not stored refs pending

Critical orbits of polynomials with a periodic point of specified multiplier

Patrick Ingram

arxiv:1706.05352 v1 · 2017-06-16 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G2VPAGDNHFPYITYJJAANFTKTIX}

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	2026-05-18T00:42:14.006828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36aaf0186d395f844f094800d2cd5345eb6f2a8cb717fe813f29571b73c68a8f

Aliases

arxiv: 1706.05352 · arxiv_version: 1706.05352v1 · doi: 10.48550/arxiv.1706.05352 · pith_short_12: G2VPAGDNHFPY · pith_short_16: G2VPAGDNHFPYITYJ · pith_short_8: G2VPAGDN

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/G2VPAGDNHFPYITYJJAANFTKTIX \
  | 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: 36aaf0186d395f844f094800d2cd5345eb6f2a8cb717fe813f29571b73c68a8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4d85f7059393a7218a27fe26b604cd9563be7c0f5d8b9942c416ea0aa387d2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-16T17:15:54Z",
    "title_canon_sha256": "12905c93725d21738aadb7e3a9ad8596dff31931f3f0ddda879e892c5d6c2ffb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05352",
    "kind": "arxiv",
    "version": 1
  }
}