Pith Number

pith:AYPIWIFR

pith:2007:AYPIWIFRAAZWTQDGN6ZPBZ6IZL

not attested not anchored not stored refs pending

Finite volume schemes on Lorentzian manifolds

Bawer Okutmustur, Paulo Amorim, Philippe G. LeFloch

arxiv:0712.1221 v1 · 2007-12-07 · math.NA · cs.NA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYPIWIFRAAZWTQDGN6ZPBZ6IZL}

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	2026-06-03T22:06:03.475437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

061e8b20b1003369c0666fb2f0e7c8cade743f504cabddb21d0c357e6054a4f0

Aliases

arxiv: 0712.1221 · arxiv_version: 0712.1221v1 · doi: 10.48550/arxiv.0712.1221 · pith_short_12: AYPIWIFRAAZW · pith_short_16: AYPIWIFRAAZWTQDG · pith_short_8: AYPIWIFR

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/AYPIWIFRAAZWTQDGN6ZPBZ6IZL \
  | 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: 061e8b20b1003369c0666fb2f0e7c8cade743f504cabddb21d0c357e6054a4f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c34462565e172cd0dc2227502abba327451b3d6e07367510b245f74a5c937e6f",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2007-12-07T20:26:25Z",
    "title_canon_sha256": "c8a6a816aeda511bcbbee2bfc8e8a5a7b7adc5bc65ef82404e41d0bbdb08e8b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1221",
    "kind": "arxiv",
    "version": 1
  }
}