Pith Number

pith:IKJSHE6I

pith:2012:IKJSHE6I3WDNX2XAWCOYBLT2II

not attested not anchored not stored refs pending

A Hasse Principle for Periodic Points

Adam Towsley

arxiv:1209.2399 v4 · 2012-09-11 · 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{IKJSHE6I3WDNX2XAWCOYBLT2II}

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	2026-05-18T03:17:11.946542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42932393c8dd86dbeae0b09d80ae7a421a1ee7992e9588fd0280e212612c73a4

Aliases

arxiv: 1209.2399 · arxiv_version: 1209.2399v4 · doi: 10.48550/arxiv.1209.2399 · pith_short_12: IKJSHE6I3WDN · pith_short_16: IKJSHE6I3WDNX2XA · pith_short_8: IKJSHE6I

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/IKJSHE6I3WDNX2XAWCOYBLT2II \
  | 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: 42932393c8dd86dbeae0b09d80ae7a421a1ee7992e9588fd0280e212612c73a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "271487d48606b01235f0a29db48274f9d6cc7de394c99fde8cdf87f58354b258",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-11T19:11:17Z",
    "title_canon_sha256": "1ca52d7a8d9112a6a3a5be25d07644a99b63abf27ccbee6af5c290aa6c557499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2399",
    "kind": "arxiv",
    "version": 4
  }
}