Pith Number

pith:ITRXCPBS

pith:2016:ITRXCPBSDUEGZTBO33NKVPHS7V

not attested not anchored not stored refs pending

Including van der Waals Forces in Diffusion-Convection Equations - Modeling, Analysis, and Numerical Simulations

Matthias Herz, Peter Knabner

arxiv:1608.08431 v1 · 2016-08-30 · 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{ITRXCPBSDUEGZTBO33NKVPHS7V}

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	2026-05-18T01:07:18.127690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44e3713c321d086ccc2ededaaabcf2fd5d0a9df84ac49b4b49bf8fb51bf94207

Aliases

arxiv: 1608.08431 · arxiv_version: 1608.08431v1 · doi: 10.48550/arxiv.1608.08431 · pith_short_12: ITRXCPBSDUEG · pith_short_16: ITRXCPBSDUEGZTBO · pith_short_8: ITRXCPBS

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/ITRXCPBSDUEGZTBO33NKVPHS7V \
  | 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: 44e3713c321d086ccc2ededaaabcf2fd5d0a9df84ac49b4b49bf8fb51bf94207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aa11c4c51ea6696e8621a0748c9d9c384e2e9ae9e3a5a5138163083805f17b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-08-30T12:59:15Z",
    "title_canon_sha256": "25dda638dae9d9c05212af6c29915985666ec43bfbe3ce3fd385bbf67d32bac0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08431",
    "kind": "arxiv",
    "version": 1
  }
}