Pith Number

pith:PATT6KFD

pith:2019:PATT6KFD6FQFB5QZSBUKYODNLK

not attested not anchored not stored refs pending

Contraction for large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model

Alexis Vasseur, Kyudong Choi, Moon-Jin Kang, Young-Sam Kwon

arxiv:1904.12169 v1 · 2019-04-27 · 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{PATT6KFD6FQFB5QZSBUKYODNLK}

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	2026-05-17T23:47:38.768463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78273f28a3f16050f6199068ac386d5a95076999f9cc2f5fd0935eea5f55e155

Aliases

arxiv: 1904.12169 · arxiv_version: 1904.12169v1 · doi: 10.48550/arxiv.1904.12169 · pith_short_12: PATT6KFD6FQF · pith_short_16: PATT6KFD6FQFB5QZ · pith_short_8: PATT6KFD

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/PATT6KFD6FQFB5QZSBUKYODNLK \
  | 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: 78273f28a3f16050f6199068ac386d5a95076999f9cc2f5fd0935eea5f55e155

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c52709fd3c33d92b96a1b0dc5f52a63187712615a3b0fda56deb596be5e6e00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-04-27T16:05:23Z",
    "title_canon_sha256": "7ade5ed3aac00456ce78b827b4db67ee4f8b6b24cebedcecb0d822b1fdd8d3b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.12169",
    "kind": "arxiv",
    "version": 1
  }
}