Pith Number

pith:VJTWFXNP

pith:2015:VJTWFXNP3WKCXGKV4HOSOWH7CF

not attested not anchored not stored refs pending

A Constrained-Gradient Method to Control Divergence Errors in Numerical MHD

Philip F. Hopkins (Caltech)

arxiv:1509.07877 v2 · 2015-09-25 · astro-ph.IM · astro-ph.CO · astro-ph.GA · astro-ph.SR · physics.flu-dyn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VJTWFXNP3WKCXGKV4HOSOWH7CF}

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	2026-05-18T00:40:41.664366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa6762ddafdd942b9955e1dd2758ff1157da9523324da2e055b430e1c24d0249

Aliases

arxiv: 1509.07877 · arxiv_version: 1509.07877v2 · doi: 10.48550/arxiv.1509.07877 · pith_short_12: VJTWFXNP3WKC · pith_short_16: VJTWFXNP3WKCXGKV · pith_short_8: VJTWFXNP

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/VJTWFXNP3WKCXGKV4HOSOWH7CF \
  | 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: aa6762ddafdd942b9955e1dd2758ff1157da9523324da2e055b430e1c24d0249

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8986952b6d67bf5d64e4440d69f4a323e3c88490982f375ab2b4a017229f28e4",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.GA",
      "astro-ph.SR",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2015-09-25T20:07:07Z",
    "title_canon_sha256": "87a7203f4c3ab0056ea415d6b15175bd894285fca30de38bb41de6c096a141af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07877",
    "kind": "arxiv",
    "version": 2
  }
}