Pith Number

pith:GXITCDLU

pith:2015:GXITCDLUKWXH22VNB23KEJZRX5

not attested not anchored not stored refs pending

A Two-Grid Finite Element Approximation for A Nonlinear Time-Fractional Cable Equation

Hong Li, Jinfeng Wang, Yang Liu, Yanwei Du

arxiv:1512.08082 v2 · 2015-12-26 · 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{GXITCDLUKWXH22VNB23KEJZRX5}

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	2026-05-18T01:12:34.611933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35d1310d7455ae7d6aad0eb6a22731bf766ec10a2c3adb6258ad4061934e96e6

Aliases

arxiv: 1512.08082 · arxiv_version: 1512.08082v2 · doi: 10.48550/arxiv.1512.08082 · pith_short_12: GXITCDLUKWXH · pith_short_16: GXITCDLUKWXH22VN · pith_short_8: GXITCDLU

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/GXITCDLUKWXH22VNB23KEJZRX5 \
  | 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: 35d1310d7455ae7d6aad0eb6a22731bf766ec10a2c3adb6258ad4061934e96e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca878cc835521cddce333aee837ea5675d22765663c200b3f0fe2fecf08278ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-12-26T07:11:40Z",
    "title_canon_sha256": "950809facbfde0a1d7fe25d5811335f92c14badacfde69d6a4c2e1f7d4aeadc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08082",
    "kind": "arxiv",
    "version": 2
  }
}