Pith Number

pith:Q7KULIU7

pith:2016:Q7KULIU7NXPOEAPYSYHCOU7D6F

not attested not anchored not stored refs pending

Multigrid waveform relaxation for the time-fractional heat equation

Carmen Rodrigo, Francisco J. Gaspar

arxiv:1608.05400 v2 · 2016-08-18 · 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{Q7KULIU7NXPOEAPYSYHCOU7D6F}

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	2026-05-18T00:36:43.773765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87d545a29f6ddee201f8960e2753e3f15af94ba3cc29786113ab273be9457976

Aliases

arxiv: 1608.05400 · arxiv_version: 1608.05400v2 · doi: 10.48550/arxiv.1608.05400 · pith_short_12: Q7KULIU7NXPO · pith_short_16: Q7KULIU7NXPOEAPY · pith_short_8: Q7KULIU7

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/Q7KULIU7NXPOEAPYSYHCOU7D6F \
  | 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: 87d545a29f6ddee201f8960e2753e3f15af94ba3cc29786113ab273be9457976

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8551019b41b906d8b407c8111143dc8f979943f1571291f064e91a9efef6e7c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-08-18T19:56:59Z",
    "title_canon_sha256": "5cc6572989b1266b6c7992991c737e52b82271ded71af2536e27f7eae2fc94fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05400",
    "kind": "arxiv",
    "version": 2
  }
}