Pith Number

pith:VQDW6XFE

pith:2012:VQDW6XFE4OHDNHFBDPO2BUPM4H

not attested not anchored not stored refs pending

Positive topological entropy for multi-bump magnetic fields

Andreas Knauf, Frank Schulz, Karl Friedrich Siburg

arxiv:1208.5437 v1 · 2012-08-27 · math.DS · math-ph · 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{VQDW6XFE4OHDNHFBDPO2BUPM4H}

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	2026-05-18T01:54:57.724949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac076f5ca4e38e369ca11bdda0d1ece1df6c259b7a988367e16f16024e3271ab

Aliases

arxiv: 1208.5437 · arxiv_version: 1208.5437v1 · doi: 10.48550/arxiv.1208.5437 · pith_short_12: VQDW6XFE4OHD · pith_short_16: VQDW6XFE4OHDNHFB · pith_short_8: VQDW6XFE

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/VQDW6XFE4OHDNHFBDPO2BUPM4H \
  | 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: ac076f5ca4e38e369ca11bdda0d1ece1df6c259b7a988367e16f16024e3271ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af80e8c5b6ce168d38c809bd3baffa12fe6215b5999b8276b48638d8920920ee",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-08-27T16:35:04Z",
    "title_canon_sha256": "1612c94537f1e05b8e6191144cbef6e2598ef3b9e5e34953374d3d3e8675c763"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5437",
    "kind": "arxiv",
    "version": 1
  }
}