Pith Number

pith:XOCEA76U

pith:2016:XOCEA76ULGSYX6LWFLWOK6JQU6

not attested not anchored not stored refs pending

Decoupling of Mixed Methods Based on Generalized Helmholtz Decompositions

Long Chen, Xuehai Huang

arxiv:1611.03936 v3 · 2016-11-12 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOCEA76ULGSYX6LWFLWOK6JQU6}

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	2026-05-18T00:12:00.787149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb84407fd459a58bf9762aece57930a797cc71ddb9043a58d0bfe54d70cda124

Aliases

arxiv: 1611.03936 · arxiv_version: 1611.03936v3 · doi: 10.48550/arxiv.1611.03936 · pith_short_12: XOCEA76ULGSY · pith_short_16: XOCEA76ULGSYX6LW · pith_short_8: XOCEA76U

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/XOCEA76ULGSYX6LWFLWOK6JQU6 \
  | 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: bb84407fd459a58bf9762aece57930a797cc71ddb9043a58d0bfe54d70cda124

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25bcf5d0d07577e1da9771b08ac1cf996a9458e3ec15f45285029504c61ff5d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-11-12T02:02:48Z",
    "title_canon_sha256": "56922b96c59287b5deca1efbca83edb6c9be14e248213263ad9d6cac77bb6e90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03936",
    "kind": "arxiv",
    "version": 3
  }
}