Pith Number

pith:VW4M25VU

pith:2017:VW4M25VUJBBJRFGW5IWC636RRP

not attested not anchored not stored refs pending

Ergodicity of spherically symmetric fluid flows outside of a Schwarzschild black hole with random boundary forcing

Philippe G. LeFloch, Yuri Bakhtin

arxiv:1706.01004 v1 · 2017-06-03 · 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{VW4M25VUJBBJRFGW5IWC636RRP}

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	2026-05-18T00:43:07.095640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adb8cd76b448429894d6ea2c2f6fd18bef998be1c587ebb53ee7dae3a41ac81d

Aliases

arxiv: 1706.01004 · arxiv_version: 1706.01004v1 · doi: 10.48550/arxiv.1706.01004 · pith_short_12: VW4M25VUJBBJ · pith_short_16: VW4M25VUJBBJRFGW · pith_short_8: VW4M25VU

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/VW4M25VUJBBJRFGW5IWC636RRP \
  | 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: adb8cd76b448429894d6ea2c2f6fd18bef998be1c587ebb53ee7dae3a41ac81d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c83473faa3cfe636ee5139f81e329a0b6421dae18cc7d0e51f5df8c87fdd1cb",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-03T22:19:15Z",
    "title_canon_sha256": "419bdb87c25044e5ab751141520fd53f17309cb2676efef654833896f1d10b79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01004",
    "kind": "arxiv",
    "version": 1
  }
}