Pith Number

pith:PQ6QEEZ3

pith:2012:PQ6QEEZ346QTZIVVYWJBW6YT6P

not attested not anchored not stored refs pending

Prime ends rotation numbers and periodic points

Andres Koropecki, Meysam Nassiri, Patrice Le Calvez

arxiv:1206.4707 v1 · 2012-06-20 · 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{PQ6QEEZ346QTZIVVYWJBW6YT6P}

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	2026-05-18T01:28:21.702833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c3d02133be7a13ca2b5c5921b7b13f3cdc1a87870e28d6e99c81dd9459ac9ac

Aliases

arxiv: 1206.4707 · arxiv_version: 1206.4707v1 · doi: 10.48550/arxiv.1206.4707 · pith_short_12: PQ6QEEZ346QT · pith_short_16: PQ6QEEZ346QTZIVV · pith_short_8: PQ6QEEZ3

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/PQ6QEEZ346QTZIVVYWJBW6YT6P \
  | 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: 7c3d02133be7a13ca2b5c5921b7b13f3cdc1a87870e28d6e99c81dd9459ac9ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7f1bc1b1b98fedbde7ac9453d933de1b4d78a0297fc09b076c0a0f2801800cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-06-20T20:13:14Z",
    "title_canon_sha256": "73d81159171b37f751b7ed4a50d7c6f81f7ed015a93ac3abc09e7b02c23fe990"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4707",
    "kind": "arxiv",
    "version": 1
  }
}