Pith Number

pith:TXFJLBFP

pith:2015:TXFJLBFPBCMJV6PFJCKC3ZWR4K

not attested not anchored not stored refs pending

Random Periodic Solutions of SPDEs via Integral Equations and Wiener-Sobolev Compact Embedding

Chunrong Feng, Huaizhong Zhao

arxiv:1502.03091 v1 · 2015-02-10 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXFJLBFPBCMJV6PFJCKC3ZWR4K}

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	2026-05-18T02:27:20.563417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dca9584af08989af9e548942de6d1e28d98586a18e3d5e437d113eb3e909b0f

Aliases

arxiv: 1502.03091 · arxiv_version: 1502.03091v1 · doi: 10.48550/arxiv.1502.03091 · pith_short_12: TXFJLBFPBCMJ · pith_short_16: TXFJLBFPBCMJV6PF · pith_short_8: TXFJLBFP

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/TXFJLBFPBCMJV6PFJCKC3ZWR4K \
  | 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: 9dca9584af08989af9e548942de6d1e28d98586a18e3d5e437d113eb3e909b0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "578485afb10926c9ed995582b91bb3e93936017c11e2d6c3b899408fcfb32a09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-10T15:32:49Z",
    "title_canon_sha256": "d28e2a975c949ec686c88e9f8e073eab810b5f89d36413eeebf62a6dd92ee901"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03091",
    "kind": "arxiv",
    "version": 1
  }
}