Pith Number

pith:TXU4SG3L

pith:2012:TXU4SG3LSDB2CZSVMQV7X7QXHS

not attested not anchored not stored refs pending

Global stability of solutions to nonlinear wave equations

Shiwu Yang

arxiv:1205.4216 v1 · 2012-05-18 · 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{TXU4SG3LSDB2CZSVMQV7X7QXHS}

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	2026-05-18T03:55:22.470570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9de9c91b6b90c3a16655642bfbfe173cbbdbabdf2c663dd72908d748b6d676e0

Aliases

arxiv: 1205.4216 · arxiv_version: 1205.4216v1 · doi: 10.48550/arxiv.1205.4216 · pith_short_12: TXU4SG3LSDB2 · pith_short_16: TXU4SG3LSDB2CZSV · pith_short_8: TXU4SG3L

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/TXU4SG3LSDB2CZSVMQV7X7QXHS \
  | 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: 9de9c91b6b90c3a16655642bfbfe173cbbdbabdf2c663dd72908d748b6d676e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0ac1558bbe9db77e7c915c1861c909326b27135958b6ba8fec06a8f0afda1a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-18T19:00:45Z",
    "title_canon_sha256": "63d5bbaf9be169c55aa2a2ec5f306580936ace3eacfedf74f0eda824bee0354b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4216",
    "kind": "arxiv",
    "version": 1
  }
}