Pith Number

pith:ACPKOLZJ

pith:2019:ACPKOLZJY4DH7PNKGDPUAUHCH6

not attested not anchored not stored refs pending

Error estimate of a bi-fidelity method for kinetic equations with random parameters and multiple scales

Irene M. Gamba, Liu Liu, Shi Jin

arxiv:1910.09080 v2 · 2019-10-20 · math.NA · cs.NA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ACPKOLZJY4DH7PNKGDPUAUHCH6}

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	2026-07-05T02:26:25.858771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

009ea72f29c7067fbdaa30df4050e23f8429985e247820e2f782b418deed94b0

Aliases

arxiv: 1910.09080 · arxiv_version: 1910.09080v2 · doi: 10.48550/arxiv.1910.09080 · pith_short_12: ACPKOLZJY4DH · pith_short_16: ACPKOLZJY4DH7PNK · pith_short_8: ACPKOLZJ

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/ACPKOLZJY4DH7PNKGDPUAUHCH6 \
  | 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: 009ea72f29c7067fbdaa30df4050e23f8429985e247820e2f782b418deed94b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bab8829397bd22691f6881dea2b2172a3d309ca5e6af2561739b6a1daee575bb",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-10-20T23:21:36Z",
    "title_canon_sha256": "e9445e231bd382bed1120adc01a64cde7797b221a1de85094a19dd9d50958bfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.09080",
    "kind": "arxiv",
    "version": 2
  }
}