Pith Number

pith:4M3RT6ET

pith:2020:4M3RT6ETSDORT6ZPAGDY7XGSSH

not attested not anchored not stored refs pending

Backward difference formula: The energy technique for subdiffusion equation

Fan Yu, Minghua Chen, Zhi Zhou

arxiv:2010.13068 v1 · 2020-10-25 · math.NA · cs.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{4M3RT6ETSDORT6ZPAGDY7XGSSH}

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	2026-07-05T06:24:07.978464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e33719f89390dd19fb2f01878fdcd291f642d17cc4080719da8b1cc693dabc95

Aliases

arxiv: 2010.13068 · arxiv_version: 2010.13068v1 · doi: 10.48550/arxiv.2010.13068 · pith_short_12: 4M3RT6ETSDOR · pith_short_16: 4M3RT6ETSDORT6ZP · pith_short_8: 4M3RT6ET

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/4M3RT6ETSDORT6ZPAGDY7XGSSH \
  | 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: e33719f89390dd19fb2f01878fdcd291f642d17cc4080719da8b1cc693dabc95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47315de51ef773cbc51c114814535303f88130cb21cefd9471fa13a244e72058",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-10-25T08:40:03Z",
    "title_canon_sha256": "5e6fb3d3674574655db733cd67122a8c9e527b82c70f26973605ba8da34c7f9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.13068",
    "kind": "arxiv",
    "version": 1
  }
}