Pith Number

pith:VXRDZSS5

pith:2019:VXRDZSS5ZM3WYN4BZBIET2QPCV

not attested not anchored not stored refs pending

Time discretization of an initial value problem for a simultaneous abstract evolution equation applying to parabolic-hyperbolic phase-field systems

Shunsuke Kurima

arxiv:1906.06887 v1 · 2019-06-17 · 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{VXRDZSS5ZM3WYN4BZBIET2QPCV}

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	2026-05-17T23:43:12.428022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ade23cca5dcb376c3781c85049ea0f1569c1b65af35a86d76b1b5ce386f9a403

Aliases

arxiv: 1906.06887 · arxiv_version: 1906.06887v1 · doi: 10.48550/arxiv.1906.06887 · pith_short_12: VXRDZSS5ZM3W · pith_short_16: VXRDZSS5ZM3WYN4B · pith_short_8: VXRDZSS5

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/VXRDZSS5ZM3WYN4BZBIET2QPCV \
  | 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: ade23cca5dcb376c3781c85049ea0f1569c1b65af35a86d76b1b5ce386f9a403

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "232c9e6998ac1f5ecd33a5434954716aeb0397b5692641530293a98a44b4078b",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-06-17T08:13:18Z",
    "title_canon_sha256": "2b4c13898a5f5f7a13c54ece38fe214c0f77537703c7397e9c48a66f618cf121"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06887",
    "kind": "arxiv",
    "version": 1
  }
}