Pith Number

pith:HPQ47GYK

pith:2012:HPQ47GYK3ITY2JEMEYLINFZEBH

not attested not anchored not stored refs pending

The geometric finite volume method for compressible fluid flows on Schwarzschild spacetime

Hasan Makhlof, Philippe G. LeFloch

arxiv:1212.6622 v1 · 2012-12-29 · gr-qc · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPQ47GYK3ITY2JEMEYLINFZEBH}

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	2026-05-18T03:37:31.332797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3be1cf9b0ada278d248c261686972409c432268d072dddfa464d767e1d6c1a31

Aliases

arxiv: 1212.6622 · arxiv_version: 1212.6622v1 · doi: 10.48550/arxiv.1212.6622 · pith_short_12: HPQ47GYK3ITY · pith_short_16: HPQ47GYK3ITY2JEM · pith_short_8: HPQ47GYK

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/HPQ47GYK3ITY2JEMEYLINFZEBH \
  | 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: 3be1cf9b0ada278d248c261686972409c432268d072dddfa464d767e1d6c1a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "828140f7b60f88fedc889e13592048e870477fab6acaee0837128289ce535bb8",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-12-29T12:44:35Z",
    "title_canon_sha256": "9bb4c4143f50bccaed085526c15bd06698b5e5ea7dabe002b6a59dc1a77a3bb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6622",
    "kind": "arxiv",
    "version": 1
  }
}