Pith Number

pith:MYZPI3BC

pith:2015:MYZPI3BCTHIU35Y4DRMHTAGVW5

not attested not anchored not stored refs pending

Lipschitz Metrics for a Class of Nonlinear Wave Equations

Alberto Bressan, Geng Chen

arxiv:1506.06310 v1 · 2015-06-21 · 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{MYZPI3BCTHIU35Y4DRMHTAGVW5}

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	2026-05-18T01:41:45.533214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6632f46c2299d14df71c1c587980d5b74c57861da2b428fe60aabcb66497b298

Aliases

arxiv: 1506.06310 · arxiv_version: 1506.06310v1 · doi: 10.48550/arxiv.1506.06310 · pith_short_12: MYZPI3BCTHIU · pith_short_16: MYZPI3BCTHIU35Y4 · pith_short_8: MYZPI3BC

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/MYZPI3BCTHIU35Y4DRMHTAGVW5 \
  | 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: 6632f46c2299d14df71c1c587980d5b74c57861da2b428fe60aabcb66497b298

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "687838bee11714ef540abee8a89122975918beda0a7921cb34de6e0037e300b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-21T01:48:24Z",
    "title_canon_sha256": "f91794869c9e4388fef1fae67ebbed8598be6f9d1d4f665112722fd14bf71464"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06310",
    "kind": "arxiv",
    "version": 1
  }
}