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Pith Number

pith:PTJNPI5S

pith:2018:PTJNPI5SXNUHAH5NMJXRAHQ2GS
not attested not anchored not stored refs pending

A proof of a support theorem for stochastic wave equations in Holder norm with some general noises

Francisco J. Delgado-Vences

arxiv:1807.03161 v1 · 2018-07-05 · 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{PTJNPI5SXNUHAH5NMJXRAHQ2GS}

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 2026-05-18T00:11:12.541676Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7cd2d7a3b2bb68701fad626f101e1a34b9680860b9ab59a16e0569053f195fce

Aliases

arxiv: 1807.03161 · arxiv_version: 1807.03161v1 · doi: 10.48550/arxiv.1807.03161 · pith_short_12: PTJNPI5SXNUH · pith_short_16: PTJNPI5SXNUHAH5N · pith_short_8: PTJNPI5S
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/PTJNPI5SXNUHAH5NMJXRAHQ2GS \
  | 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: 7cd2d7a3b2bb68701fad626f101e1a34b9680860b9ab59a16e0569053f195fce
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "b305ba0863bd2952d9822c97cc5bda4c2e30616d6070b828ba39d42c2ef0b810",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-05T22:55:28Z",
    "title_canon_sha256": "7b9e0dcf505bc2edeefad6c451e23eb6cc72bbd7af55662efdec2e6c5d082d90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03161",
    "kind": "arxiv",
    "version": 1
  }
}