Pith Number

pith:VZRZBLZF

pith:2014:VZRZBLZFX65VR6ASVNOUFIPV2H

not attested not anchored not stored refs pending

Probabilistic representations of solutions of elliptic boundary value problem and non-symmetric semigroups

Chuan-Zhong Chen, Jing Zhang, Wei Sun

arxiv:1407.4185 v2 · 2014-07-16 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZRZBLZFX65VR6ASVNOUFIPV2H}

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	2026-05-18T02:18:40.894972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae6390af25bfbb58f812ab5d42a1f5d1eb6bcc851fa4690dd876363316d5f8bf

Aliases

arxiv: 1407.4185 · arxiv_version: 1407.4185v2 · doi: 10.48550/arxiv.1407.4185 · pith_short_12: VZRZBLZFX65V · pith_short_16: VZRZBLZFX65VR6AS · pith_short_8: VZRZBLZF

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/VZRZBLZFX65VR6ASVNOUFIPV2H \
  | 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: ae6390af25bfbb58f812ab5d42a1f5d1eb6bcc851fa4690dd876363316d5f8bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef8ed9e4d77dba8f321b1afb75124cc6bbfb4e1dd65ed69c02f813c2c7a48747",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-16T02:41:26Z",
    "title_canon_sha256": "5bf8cbd40b9232180d373d4268aa39af4d27c72e5c7649ea6bee9b0345915b02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4185",
    "kind": "arxiv",
    "version": 2
  }
}