Pith Number

pith:GDW7BKEE

pith:2015:GDW7BKEEAB7IYEKFIZQSVJQCOV

not attested not anchored not stored refs pending

Multivalued Non-Autonomous Random Dynamical Systems for Wave Equations without Uniqueness

Bixiang Wang

arxiv:1507.02013 v1 · 2015-07-08 · math.AP · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GDW7BKEEAB7IYEKFIZQSVJQCOV}

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	2026-05-18T01:37:10.466302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30edf0a884007e8c114546612aa60275456c0ab393ae8382ea6e536c8ad33dac

Aliases

arxiv: 1507.02013 · arxiv_version: 1507.02013v1 · doi: 10.48550/arxiv.1507.02013 · pith_short_12: GDW7BKEEAB7I · pith_short_16: GDW7BKEEAB7IYEKF · pith_short_8: GDW7BKEE

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/GDW7BKEEAB7IYEKFIZQSVJQCOV \
  | 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: 30edf0a884007e8c114546612aa60275456c0ab393ae8382ea6e536c8ad33dac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6cf14b2ce2b57f4a2a8f1dba7a66a65ebd82acfbb2157d674f52ccd6a85550c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-08T04:00:57Z",
    "title_canon_sha256": "4355d4f56243aa6b8db627f9c41e6b52ea22762d36d4be0a7df041b5d66703c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02013",
    "kind": "arxiv",
    "version": 1
  }
}