Pith Number

pith:XRB6ZQQS

pith:2012:XRB6ZQQS2ID65O6NGDJBW7FL6B

not attested not anchored not stored refs pending

On the monotonicity criteria of the period function of potential systems

A. Raouf Chouikha

arxiv:1209.1271 v1 · 2012-09-06 · math.CA · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XRB6ZQQS2ID65O6NGDJBW7FL6B}

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	2026-05-18T03:46:06.058740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc43ecc212d207eebbcd30d21b7cabf056fa6704bdf2c64455d73ffbe69f8787

Aliases

arxiv: 1209.1271 · arxiv_version: 1209.1271v1 · doi: 10.48550/arxiv.1209.1271 · pith_short_12: XRB6ZQQS2ID6 · pith_short_16: XRB6ZQQS2ID65O6N · pith_short_8: XRB6ZQQS

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/XRB6ZQQS2ID65O6NGDJBW7FL6B \
  | 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: bc43ecc212d207eebbcd30d21b7cabf056fa6704bdf2c64455d73ffbe69f8787

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3246298988f491c151538f8bfea1c5a0ededf6070354365809f124cc7765817",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-09-06T12:46:14Z",
    "title_canon_sha256": "32d5bb254af27195213fc4f9ab49740109587f2321ae8df2ab0d84005644ebb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1271",
    "kind": "arxiv",
    "version": 1
  }
}