Pith Number

pith:2TRP7KGY

pith:2025:2TRP7KGYICITU4JYRBWVYIX5NR

not attested not anchored not stored refs pending

Null coordinates for quasi-periodic $(1+1)$-dimensional wave operators on the circle with applications to reducibility

Athanasios Chatzikaleas, Jacques Smulevici

arxiv:2502.04826 v1 · 2025-02-07 · math.AP · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TRP7KGYICITU4JYRBWVYIX5NR}

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.

Cited by

1 paper in Pith

Weakly turbulent dynamics on Schwarzschild-AdS black hole spacetimes

Receipt and verification

First computed	2026-07-05T10:10:57.800828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4e2ffa8d840913a7138886d5c22fd6c7019a2060d8fb2c04031b4664be7a568

Aliases

arxiv: 2502.04826 · arxiv_version: 2502.04826v1 · doi: 10.48550/arxiv.2502.04826 · pith_short_12: 2TRP7KGYICIT · pith_short_16: 2TRP7KGYICITU4JY · pith_short_8: 2TRP7KGY

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/2TRP7KGYICITU4JYRBWVYIX5NR \
  | 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: d4e2ffa8d840913a7138886d5c22fd6c7019a2060d8fb2c04031b4664be7a568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b8d95f76c6c6b8144b4f032666f72507987546177f8db395abcd470c6138038",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-02-07T11:00:49Z",
    "title_canon_sha256": "e648565d1d59637bf3b2161754ddcb0a5f18aa2f694c96f1fc8e6f8f2602ba12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.04826",
    "kind": "arxiv",
    "version": 1
  }
}