Pith Number

pith:E4ADEWPI

pith:2018:E4ADEWPIDYU5XZVU4HSPVGO7DD

not attested not anchored not stored refs pending

Data-driven physics informed deep learning of solute transport with anomalous diffusion

Hong Wang, Huan Liu, Xiangcheng Zheng

arxiv:1812.01492 v2 · 2018-12-04 · 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{E4ADEWPIDYU5XZVU4HSPVGO7DD}

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	2026-05-17T23:54:21.875610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27003259e81e29dbe6b4e1e4fa99df18c6a99576a57d946910dc9aaf7dfc3bb4

Aliases

arxiv: 1812.01492 · arxiv_version: 1812.01492v2 · doi: 10.48550/arxiv.1812.01492 · pith_short_12: E4ADEWPIDYU5 · pith_short_16: E4ADEWPIDYU5XZVU · pith_short_8: E4ADEWPI

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/E4ADEWPIDYU5XZVU4HSPVGO7DD \
  | 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: 27003259e81e29dbe6b4e1e4fa99df18c6a99576a57d946910dc9aaf7dfc3bb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfb612395e48974867827adf47e36a33542b238cd7119c7a0a923bfce941d725",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-12-04T15:45:43Z",
    "title_canon_sha256": "25141e641c2498e4c1081c36ae4e8a9948801bad07827b268f9abcf5b916d169"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01492",
    "kind": "arxiv",
    "version": 2
  }
}