Pith Number

pith:DFAUQTBJ

pith:2023:DFAUQTBJ4B4QIJ6EXLHISJHZ7F

not attested not anchored not stored refs pending

Waves in cosmological background with static Schwarzschild radius in the expanding universe

Karen Yagdjian

arxiv:2307.01335 v4 · 2023-07-03 · math.AP · 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{DFAUQTBJ4B4QIJ6EXLHISJHZ7F}

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	2026-07-05T08:55:48.430513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1941484c29e0790427c4bace8924f9f95844f0cdb48d80b539c0193651b804c7

Aliases

arxiv: 2307.01335 · arxiv_version: 2307.01335v4 · doi: 10.48550/arxiv.2307.01335 · pith_short_12: DFAUQTBJ4B4Q · pith_short_16: DFAUQTBJ4B4QIJ6E · pith_short_8: DFAUQTBJ

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/DFAUQTBJ4B4QIJ6EXLHISJHZ7F \
  | 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: 1941484c29e0790427c4bace8924f9f95844f0cdb48d80b539c0193651b804c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8ce4405865019bfd228279ea6e7e58d5b79e315e85d2eaac03c569c09739bd7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-07-03T20:13:51Z",
    "title_canon_sha256": "4a3e315139eb475852ef5070ad8dd250b6aaefcefde38f2705d3b1f3c8447386"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.01335",
    "kind": "arxiv",
    "version": 4
  }
}