Pith Number

pith:ZFPK6SQZ

pith:2019:ZFPK6SQZUECGPSFH4SSJD5KEJN

not attested not anchored not stored refs pending

An alternate proof of idempotent relations among periodic points and quotients

Laura Walton, Michelle Manes, Xander Faber

arxiv:1905.09378 v1 · 2019-05-22 · 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{ZFPK6SQZUECGPSFH4SSJD5KEJN}

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	2026-05-17T23:45:19.415097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c95eaf4a19a10467c8a7e4a491f5444b6ec473525263e9fa67acdd3274774344

Aliases

arxiv: 1905.09378 · arxiv_version: 1905.09378v1 · doi: 10.48550/arxiv.1905.09378 · pith_short_12: ZFPK6SQZUECG · pith_short_16: ZFPK6SQZUECGPSFH · pith_short_8: ZFPK6SQZ

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/ZFPK6SQZUECGPSFH4SSJD5KEJN \
  | 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: c95eaf4a19a10467c8a7e4a491f5444b6ec473525263e9fa67acdd3274774344

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e1b86e89e790835e472988e605343ca6c0e5381c7ccbf730067dab17c6f9c2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-05-22T22:12:24Z",
    "title_canon_sha256": "495ad2ec80b4e235b5696423708fac63f1bacbe904c74e0b3e780e6b7e7fb025"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.09378",
    "kind": "arxiv",
    "version": 1
  }
}