Pith Number

pith:A6TD3X4P

pith:2013:A6TD3X4P3UMVP3VIVD43MGCDXV

not attested not anchored not stored refs pending

Invariant foliations for stochastic partial differential equations with dynamic boundary conditions

Zhongkai Guo

arxiv:1311.4705 v1 · 2013-11-19 · 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{A6TD3X4P3UMVP3VIVD43MGCDXV}

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	2026-05-18T03:06:43.661513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07a63ddf8fdd1957eea8a8f9b61843bd6ee68775fa30c2205b27509fbe976c99

Aliases

arxiv: 1311.4705 · arxiv_version: 1311.4705v1 · doi: 10.48550/arxiv.1311.4705 · pith_short_12: A6TD3X4P3UMV · pith_short_16: A6TD3X4P3UMVP3VI · pith_short_8: A6TD3X4P

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/A6TD3X4P3UMVP3VIVD43MGCDXV \
  | 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: 07a63ddf8fdd1957eea8a8f9b61843bd6ee68775fa30c2205b27509fbe976c99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce835c098118ac6c09648513e54fda64b37c19a2b28fff0baf025269e9c7a382",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-11-19T11:41:00Z",
    "title_canon_sha256": "170e9c12d0ec8d5debce7c5f9dc773a0faae024360a9a52af8301c17d7ec88db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4705",
    "kind": "arxiv",
    "version": 1
  }
}