Pith Number

pith:LIEXCEKL

pith:2012:LIEXCEKLQ4W4O43IZAN4X4S3TT

not attested not anchored not stored refs pending

On the existence and cusp singularity of solutions to semilinear generalized Tricomi equations with discontinuous initial data

Huicheng Yin (Nanjing University), Ingo Witt (University of G\"ottingen), Zhuoping Ruan (Nanjing University)

arxiv:1211.0334 v1 · 2012-11-02 · 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{LIEXCEKLQ4W4O43IZAN4X4S3TT}

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	2026-05-18T03:41:41.514254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a0971114b872dc77368c81bcbf25b9cfcff768eef00ad2993aa51ea68724005

Aliases

arxiv: 1211.0334 · arxiv_version: 1211.0334v1 · doi: 10.48550/arxiv.1211.0334 · pith_short_12: LIEXCEKLQ4W4 · pith_short_16: LIEXCEKLQ4W4O43I · pith_short_8: LIEXCEKL

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/LIEXCEKLQ4W4O43IZAN4X4S3TT \
  | 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: 5a0971114b872dc77368c81bcbf25b9cfcff768eef00ad2993aa51ea68724005

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "915b115679f8ff07368dfbd73c85fdcd9a45a64aaca412293f54bd1b836985b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-02T00:47:57Z",
    "title_canon_sha256": "0a43dcd942629f03aa265e7d7f88285fea104193c7181172e9db5a8d44b593ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0334",
    "kind": "arxiv",
    "version": 1
  }
}