Pith Number

pith:WJVXLZR4

pith:2016:WJVXLZR4AY4MWNNMU274G2CQSL

not attested not anchored not stored refs pending

Initial-boundary value problems for nearly incompressible vector fields, and applications to the Keyfitz and Kranzer system

Anupam Pal Choudhury, Gianluca Crippa, Laura V. Spinolo

arxiv:1610.00188 v1 · 2016-10-01 · 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{WJVXLZR4AY4MWNNMU274G2CQSL}

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	2026-05-18T00:30:50.814205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b26b75e63c0638cb35aca6bfc3685092e0218ae637d143b7b452af1448d770f1

Aliases

arxiv: 1610.00188 · arxiv_version: 1610.00188v1 · doi: 10.48550/arxiv.1610.00188 · pith_short_12: WJVXLZR4AY4M · pith_short_16: WJVXLZR4AY4MWNNM · pith_short_8: WJVXLZR4

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/WJVXLZR4AY4MWNNMU274G2CQSL \
  | 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: b26b75e63c0638cb35aca6bfc3685092e0218ae637d143b7b452af1448d770f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6255fb3df36d8e11e9ca9eb385ecb87a0a982c40a6d9ab0e143723872af7352",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-01T20:53:39Z",
    "title_canon_sha256": "43ea6bd25ec98dc698142830462528722db952a5a0251eb40aa265f34c15674b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00188",
    "kind": "arxiv",
    "version": 1
  }
}