Pith Number

pith:FCMCUCBS

pith:2016:FCMCUCBSWZ7JO3V3PMDVKODKLM

not attested not anchored not stored refs pending

Modified Iterated Crank-Nicolson Method with Improved Accuracy

Jinjie Liu, Qiqi Tran

arxiv:1608.01344 v1 · 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{FCMCUCBSWZ7JO3V3PMDVKODKLM}

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	2026-05-18T01:09:55.735841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28982a0832b67e976ebb7b0755386a5b1aa035a2343a00116e5c708ecc3e095e

Aliases

arxiv: 1608.01344 · arxiv_version: 1608.01344v1 · doi: 10.48550/arxiv.1608.01344 · pith_short_12: FCMCUCBSWZ7J · pith_short_16: FCMCUCBSWZ7JO3V3 · pith_short_8: FCMCUCBS

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/FCMCUCBSWZ7JO3V3PMDVKODKLM \
  | 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: 28982a0832b67e976ebb7b0755386a5b1aa035a2343a00116e5c708ecc3e095e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78b91d05b61433ee3230d8276d50a12ee58d2592d2377d0336ad03136fdb3ef0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-07-23T03:33:29Z",
    "title_canon_sha256": "996851b96681074acb215674808e5c40f4ab3d95850f287d5603d5881117ddc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01344",
    "kind": "arxiv",
    "version": 1
  }
}