Pith Number

pith:XF5D4SXE

pith:2020:XF5D4SXEDOJP7IKVBGFREGBSFI

not attested not anchored not stored refs pending

High-frequency limits and null dust shell solutions in general relativity

Igor Rodnianski, Jonathan Luk

arxiv:2009.08968 v1 · 2020-09-18 · math.AP · gr-qc · 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{XF5D4SXEDOJP7IKVBGFREGBSFI}

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

Backreaction of Halilsoy and Chandrasekhar waves

Receipt and verification

First computed	2026-07-05T01:36:24.201113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b97a3e4ae41b92ffa155098b1218322a3e83473a6d87a92ef4d0098df1dde16f

Aliases

arxiv: 2009.08968 · arxiv_version: 2009.08968v1 · doi: 10.48550/arxiv.2009.08968 · pith_short_12: XF5D4SXEDOJP · pith_short_16: XF5D4SXEDOJP7IKV · pith_short_8: XF5D4SXE

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/XF5D4SXEDOJP7IKVBGFREGBSFI \
  | 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: b97a3e4ae41b92ffa155098b1218322a3e83473a6d87a92ef4d0098df1dde16f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "800f6c478f613caf05a5b637d6e0667c4363531eebc8cbc72d94f2c08cd8816b",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-09-18T17:54:02Z",
    "title_canon_sha256": "f5eff06a1a66d4041d1b8390c0984ddc35bc895c31f2d255fabe2431e9827d0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.08968",
    "kind": "arxiv",
    "version": 1
  }
}