Pith Number

pith:RZ72MVU7

pith:2015:RZ72MVU7ZUPZZFJRKCGDMVNMM2

not attested not anchored not stored refs pending

Stochastic parabolic evolution equations in M-type 2 Banach spaces

Ton Viet Ta

arxiv:1508.07340 v2 · 2015-08-28 · 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{RZ72MVU7ZUPZZFJRKCGDMVNMM2}

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	2026-05-18T00:46:26.529473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e7fa6569fcd1f9c9531508c3655ac66b4979b26627c45db93eb74167c92f6c7

Aliases

arxiv: 1508.07340 · arxiv_version: 1508.07340v2 · doi: 10.48550/arxiv.1508.07340 · pith_short_12: RZ72MVU7ZUPZ · pith_short_16: RZ72MVU7ZUPZZFJR · pith_short_8: RZ72MVU7

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/RZ72MVU7ZUPZZFJRKCGDMVNMM2 \
  | 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: 8e7fa6569fcd1f9c9531508c3655ac66b4979b26627c45db93eb74167c92f6c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afe8c7b67b72bb3b5bc635cbd69a2806291a6812e998c7e1c2c5539098a5cfa3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-28T20:42:00Z",
    "title_canon_sha256": "17c9c7c7649d41620fec10e159d0dbf226e33c0db768d03e67e1b556b991568c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07340",
    "kind": "arxiv",
    "version": 2
  }
}