Pith Number

pith:KRTWGO6R

pith:2016:KRTWGO6RHTSBJ2OXFPAQABQ6OV

not attested not anchored not stored refs pending

An Analysis of the Crank-Nicolson Method for Subdiffusion

Bangti Jin, Buyang Li, Zhi Zhou

arxiv:1607.06948 v2 · 2016-07-23 · 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{KRTWGO6RHTSBJ2OXFPAQABQ6OV}

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	2026-05-18T00:50:01.005962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5467633bd13ce414e9d72bc100061e755845e28b1ed8c77fe1938e8bc7ef80e2

Aliases

arxiv: 1607.06948 · arxiv_version: 1607.06948v2 · doi: 10.48550/arxiv.1607.06948 · pith_short_12: KRTWGO6RHTSB · pith_short_16: KRTWGO6RHTSBJ2OX · pith_short_8: KRTWGO6R

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/KRTWGO6RHTSBJ2OXFPAQABQ6OV \
  | 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: 5467633bd13ce414e9d72bc100061e755845e28b1ed8c77fe1938e8bc7ef80e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16f1a2b96f51abaf0b1dd8204899956a77b3cebfd96faef6b840e7fdb44b8df8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-07-23T15:22:09Z",
    "title_canon_sha256": "ab32324882b5afa002deed8522d0049de7015aa5eac8594d142f4c6760270b5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06948",
    "kind": "arxiv",
    "version": 2
  }
}