Pith Number

pith:AKJPZAK6

pith:2022:AKJPZAK6TKJOFNW65SOXGVOG4V

not attested not anchored not stored refs pending

Non-linear periodic waves on the Einstein cylinder

Athanasios Chatzikaleas, Jacques Smulevici

arxiv:2201.05447 v2 · 2022-01-14 · 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{AKJPZAK6TKJOFNW65SOXGVOG4V}

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

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder

Receipt and verification

First computed	2026-07-05T08:59:48.261879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0292fc815e9a92e2b6deec9d7355c6e56e0f0070d5dcf22cb4d14bd87e76ac4d

Aliases

arxiv: 2201.05447 · arxiv_version: 2201.05447v2 · doi: 10.48550/arxiv.2201.05447 · pith_short_12: AKJPZAK6TKJO · pith_short_16: AKJPZAK6TKJOFNW6 · pith_short_8: AKJPZAK6

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/AKJPZAK6TKJOFNW65SOXGVOG4V \
  | 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: 0292fc815e9a92e2b6deec9d7355c6e56e0f0070d5dcf22cb4d14bd87e76ac4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6b9e6e40e2e2592572428964d2f6cd63ace7cb7563df2387e8b93e877b589eb",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-01-14T13:39:41Z",
    "title_canon_sha256": "50bdcae78b25352d335e839dfd385774a1b7d64703972f3956078de49ddd9611"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.05447",
    "kind": "arxiv",
    "version": 2
  }
}