Pith Number

pith:Q7SMQGGZ

pith:2021:Q7SMQGGZA7224CRLBGTQ7UEYPF

not attested not anchored not stored refs pending

Determining a nonlinear hyperbolic system with unknown sources and nonlinearity

Hongyu Liu, Xu Liu, Yi-Hsuan Lin

arxiv:2107.10219 v2 · 2021-07-21 · 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{Q7SMQGGZA7224CRLBGTQ7UEYPF}

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	2026-07-05T05:49:26.208124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87e4c818d907f5ae0a2b09a70fd098795f463c4723eed7eec916357a6991cefc

Aliases

arxiv: 2107.10219 · arxiv_version: 2107.10219v2 · doi: 10.48550/arxiv.2107.10219 · pith_short_12: Q7SMQGGZA722 · pith_short_16: Q7SMQGGZA7224CRL · pith_short_8: Q7SMQGGZ

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/Q7SMQGGZA7224CRLBGTQ7UEYPF \
  | 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: 87e4c818d907f5ae0a2b09a70fd098795f463c4723eed7eec916357a6991cefc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53877f8a6d30362d77b732eae2445be516cbf4d2c756e77f9b31576c9c2eef93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-07-21T17:17:43Z",
    "title_canon_sha256": "5e0fe72841ffcadd375369ac4926c0a36907c78ddd43aabaa7f0bc5c65f215ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.10219",
    "kind": "arxiv",
    "version": 2
  }
}