Pith Number

pith:YHT2F7KX

pith:2021:YHT2F7KXZASHAVHMEICZ6ULJMG

not attested not anchored not stored refs pending

Dynamics of nonlinear hyperbolic equations of Kirchhoff type

Jianyi Chen, Yimin Sun, Zhitao Zhang, Zonghu Xiu

arxiv:2101.06012 v1 · 2021-01-15 · 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{YHT2F7KXZASHAVHMEICZ6ULJMG}

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	2026-07-05T02:07:09.024099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1e7a2fd57c8247054ec22059f516961badafebeddbd45493f0a0417ee68cc1a

Aliases

arxiv: 2101.06012 · arxiv_version: 2101.06012v1 · doi: 10.48550/arxiv.2101.06012 · pith_short_12: YHT2F7KXZASH · pith_short_16: YHT2F7KXZASHAVHM · pith_short_8: YHT2F7KX

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/YHT2F7KXZASHAVHMEICZ6ULJMG \
  | 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: c1e7a2fd57c8247054ec22059f516961badafebeddbd45493f0a0417ee68cc1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50146a46499262d0d8b4d966c03f505d46b903d9be1378653cef29c988f78e6c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-01-15T08:36:46Z",
    "title_canon_sha256": "c1165c5c8e6dfe0995dff89182d291738ba59b9ca5ca0a18a8fc924846d21d73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.06012",
    "kind": "arxiv",
    "version": 1
  }
}