Pith Number

pith:GBMC5ZM6

pith:2019:GBMC5ZM6X24N5L32UDCEJ7KZF7

not attested not anchored not stored refs pending

A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection

Cheng Wang, Weijia Li, Wenbin Chen, Xiaoming Wang, Zhiwen Luo

arxiv:1907.02234 v1 · 2019-07-04 · 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{GBMC5ZM6X24N5L32UDCEJ7KZF7}

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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	2026-05-17T23:41:29.296213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30582ee59ebeb8deaf7aa0c444fd592fc2ec55f893ff5e771ffe4a759b3a7072

Aliases

arxiv: 1907.02234 · arxiv_version: 1907.02234v1 · doi: 10.48550/arxiv.1907.02234 · pith_short_12: GBMC5ZM6X24N · pith_short_16: GBMC5ZM6X24N5L32 · pith_short_8: GBMC5ZM6

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/GBMC5ZM6X24N5L32UDCEJ7KZF7 \
  | 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: 30582ee59ebeb8deaf7aa0c444fd592fc2ec55f893ff5e771ffe4a759b3a7072

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faa1c8bea6e7ffcf7ccd9182e08c658a02b1ff44fcc11f7fc3e75b564e603368",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-07-04T05:55:32Z",
    "title_canon_sha256": "e3b2733f910cdfc8ff185cd37b5e9d69113ff510074e9fb23dee7a2fc2f6af1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02234",
    "kind": "arxiv",
    "version": 1
  }
}