Pith Number

pith:76KOLQ63

pith:2013:76KOLQ63W6WAE4EKGZQE3RWUN7

not attested not anchored not stored refs pending

A Study of Weakly Discontinuous Solutions for Hyperbolic Differential Equations Based on Wavelet Transform Methods

Shijie Gu

arxiv:1309.5403 v2 · 2013-09-20 · 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{76KOLQ63W6WAE4EKGZQE3RWUN7}

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	2026-05-18T03:03:46.883626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff94e5c3dbb7ac02708a36604dc6d46fe83fce54588ff2ed7d06b2f8c4fe80f4

Aliases

arxiv: 1309.5403 · arxiv_version: 1309.5403v2 · doi: 10.48550/arxiv.1309.5403 · pith_short_12: 76KOLQ63W6WA · pith_short_16: 76KOLQ63W6WAE4EK · pith_short_8: 76KOLQ63

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/76KOLQ63W6WAE4EKGZQE3RWUN7 \
  | 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: ff94e5c3dbb7ac02708a36604dc6d46fe83fce54588ff2ed7d06b2f8c4fe80f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e40899e7ca8f506e5c13be1952ce6dfdbd3d98d2b30f747d5565bf1bb7cc485",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-20T21:48:10Z",
    "title_canon_sha256": "ec3207985b05d84d42337256324f0d3b1bcb1a97ae9e42afb6340bb418edfe8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5403",
    "kind": "arxiv",
    "version": 2
  }
}