Pith Number

pith:7EFCIDNN

pith:2015:7EFCIDNNLRFF4JEA3OYZZGWPFG

not attested not anchored not stored refs pending

Strict solutions to stochastic parabolic evolution equations in M-type 2 Banach spaces

Atsushi Yagi, Ton Viet Ta, Yoshitaka Yamamoto

arxiv:1508.07431 v4 · 2015-08-29 · 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{7EFCIDNNLRFF4JEA3OYZZGWPFG}

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	2026-05-18T00:36:51.787384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f90a240dad5c4a5e2480dbb19c9acf29b5aefe91226fef3fa2783d8d6d382b20

Aliases

arxiv: 1508.07431 · arxiv_version: 1508.07431v4 · doi: 10.48550/arxiv.1508.07431 · pith_short_12: 7EFCIDNNLRFF · pith_short_16: 7EFCIDNNLRFF4JEA · pith_short_8: 7EFCIDNN

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/7EFCIDNNLRFF4JEA3OYZZGWPFG \
  | 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: f90a240dad5c4a5e2480dbb19c9acf29b5aefe91226fef3fa2783d8d6d382b20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89feb797aa12274b1e6939c0909bfcab06a0c4a842067ee24a6ad0cd61c72224",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-29T10:36:55Z",
    "title_canon_sha256": "b50fad97359124685de5453a14a8a9cf70d2cdc16ba014248901661b475f8215"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07431",
    "kind": "arxiv",
    "version": 4
  }
}