Pith Number

pith:TNNZKSUQ

pith:2015:TNNZKSUQ5N2XK2A3H2X3AVVRBK

not attested not anchored not stored refs pending

Isotropy of Angular Frequencies and Weak Chimeras With Broken Symmetry

Christian Bick

arxiv:1512.01321 v4 · 2015-12-04 · math.DS · nlin.AO · nlin.CD · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNNZKSUQ5N2XK2A3H2X3AVVRBK}

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	2026-05-18T00:49:52.507998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b5b954a90eb7575681b3eafb056b10a907455ebfacd6a20d9ba96986e29ccea

Aliases

arxiv: 1512.01321 · arxiv_version: 1512.01321v4 · doi: 10.48550/arxiv.1512.01321 · pith_short_12: TNNZKSUQ5N2X · pith_short_16: TNNZKSUQ5N2XK2A3 · pith_short_8: TNNZKSUQ

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/TNNZKSUQ5N2XK2A3H2X3AVVRBK \
  | 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: 9b5b954a90eb7575681b3eafb056b10a907455ebfacd6a20d9ba96986e29ccea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39dd06a9d73d3f5cd48afbdb248278ccb24fd828805fa093a1ecdbc673d12ed7",
    "cross_cats_sorted": [
      "nlin.AO",
      "nlin.CD",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-12-04T06:05:08Z",
    "title_canon_sha256": "120f6069d031a36fa7f8339101ebc1e43821675e26b3eb4d528c044ccb56a511"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01321",
    "kind": "arxiv",
    "version": 4
  }
}