Pith Number

pith:R4SB34XE

pith:2020:R4SB34XEIMSLHPACJSAYWE6Q4Y

not attested not anchored not stored refs pending

Construction of Cauchy data for the dynamical formation of apparent horizons and the Penrose Inequality

Martin Lesourd, Nikolaos Athanasiou

arxiv:2009.03704 v1 · 2020-09-08 · math.AP · gr-qc · math-ph · math.DG · 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{R4SB34XEIMSLHPACJSAYWE6Q4Y}

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	2026-07-05T01:34:12.500433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f241df2e44324b3bc024c818b13d0e6099c37041764a11675eb1fa035b33c44

Aliases

arxiv: 2009.03704 · arxiv_version: 2009.03704v1 · doi: 10.48550/arxiv.2009.03704 · pith_short_12: R4SB34XEIMSL · pith_short_16: R4SB34XEIMSLHPAC · pith_short_8: R4SB34XE

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/R4SB34XEIMSLHPACJSAYWE6Q4Y \
  | 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: 8f241df2e44324b3bc024c818b13d0e6099c37041764a11675eb1fa035b33c44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "140726b996d48827aaddafc29be7b4d0b7d3c4dce12fab0d0480b92ab0b51776",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-09-08T12:47:29Z",
    "title_canon_sha256": "6dd53171546cb075fa24ed9fe4b18e0939e7b133aab22d33945197b054c1226b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.03704",
    "kind": "arxiv",
    "version": 1
  }
}