Pith Number

pith:LXN5EMUJ

pith:2025:LXN5EMUJV3A5RNOW4W5PY2LOQ4

not attested not anchored not stored refs pending

Physics-Informed Neural Networks for the Relativistic Burgers Equation in the Exterior of a Schwarzschild Black Hole

Shuyang Xiang

arxiv:2506.00951 v2 · 2025-06-01 · math.NA · cs.NA · 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{LXN5EMUJV3A5RNOW4W5PY2LOQ4}

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	2026-07-05T11:15:01.329803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ddbd23289aec1d8b5d6e5bafc696e8739310cb1b4adb599014b80e6cdcf22ba

Aliases

arxiv: 2506.00951 · arxiv_version: 2506.00951v2 · doi: 10.48550/arxiv.2506.00951 · pith_short_12: LXN5EMUJV3A5 · pith_short_16: LXN5EMUJV3A5RNOW · pith_short_8: LXN5EMUJ

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/LXN5EMUJV3A5RNOW4W5PY2LOQ4 \
  | 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: 5ddbd23289aec1d8b5d6e5bafc696e8739310cb1b4adb599014b80e6cdcf22ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37eb84dc38a4495923dbdb172882387e3fdd553dcc3c909c9c211a9a06257d7d",
    "cross_cats_sorted": [
      "cs.NA",
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-06-01T10:51:34Z",
    "title_canon_sha256": "0af72cc6237e06b399c7979ec1029f104044ed378c956f241825eeeab413f3e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.00951",
    "kind": "arxiv",
    "version": 2
  }
}