Pith Number

pith:QCV5ZTOS

pith:2017:QCV5ZTOSSJNVMMRA2FL2LYX45W

not attested not anchored not stored refs pending

Periods of iterations of functions with restricted preimage sizes

Claudio Qureshi, Daniel Panario, Eric Schmutz, Rodrigo S. V. Martins

arxiv:1701.09148 v3 · 2017-01-31 · 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{QCV5ZTOSSJNVMMRA2FL2LYX45W}

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	2026-05-18T00:03:50.370055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80abdccdd2925b563220d157a5e2fced82343a17e8ba6bbf46d7206bc5f59a6c

Aliases

arxiv: 1701.09148 · arxiv_version: 1701.09148v3 · doi: 10.48550/arxiv.1701.09148 · pith_short_12: QCV5ZTOSSJNV · pith_short_16: QCV5ZTOSSJNVMMRA · pith_short_8: QCV5ZTOS

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/QCV5ZTOSSJNVMMRA2FL2LYX45W \
  | 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: 80abdccdd2925b563220d157a5e2fced82343a17e8ba6bbf46d7206bc5f59a6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "913fd836489d205ddfe0b049e5af064183d5718ed18b74a0ab1953fd582530bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-31T17:38:30Z",
    "title_canon_sha256": "b7376512cb8c166010fa08740c97f25ab12f43dcfc1d8e2f52f9ba06ff92cb89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.09148",
    "kind": "arxiv",
    "version": 3
  }
}