Pith Number

pith:WCBG2NDM

pith:2017:WCBG2NDMWRDWSEI6DASKOJZR3O

not attested not anchored not stored refs pending

Energy dissipative solutions to the Kobayashi-Warren-Carter system

Hiroshi Watanabe, Ken Shirakawa, Salvador Moll

arxiv:1702.04033 v1 · 2017-02-14 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCBG2NDMWRDWSEI6DASKOJZR3O}

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	2026-05-18T00:41:37.026191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0826d346cb44769111e1824a72731db9b0e60f75d89e8c25203514b1758429d

Aliases

arxiv: 1702.04033 · arxiv_version: 1702.04033v1 · doi: 10.48550/arxiv.1702.04033 · pith_short_12: WCBG2NDMWRDW · pith_short_16: WCBG2NDMWRDWSEI6 · pith_short_8: WCBG2NDM

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/WCBG2NDMWRDWSEI6DASKOJZR3O \
  | 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: b0826d346cb44769111e1824a72731db9b0e60f75d89e8c25203514b1758429d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e208584cadc0d3f3c5ed39cb64cace606ef481c7c753a874a9da6956366d2c80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-14T00:51:23Z",
    "title_canon_sha256": "e519e478b5c9dcc46b6ffe2ec6a0ec83f7da07d76df9d8ec2b164839894dc5d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04033",
    "kind": "arxiv",
    "version": 1
  }
}