Pith Number

pith:5WI3CYJ7

pith:2010:5WI3CYJ7TI22WPNSLGGHRCP2AC

not attested not anchored not stored refs pending

Weak Maximum Principle for Strongly Coupled Elliptic Differential Systems

Xu Liu, Xu Zhang

arxiv:1009.4571 v1 · 2010-09-23 · 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{5WI3CYJ7TI22WPNSLGGHRCP2AC}

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	2026-05-18T04:40:30.096623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed91b1613f9a35ab3db2598c7889fa00a12f95cffa9a0449bfdf3bbb34a132bd

Aliases

arxiv: 1009.4571 · arxiv_version: 1009.4571v1 · doi: 10.48550/arxiv.1009.4571 · pith_short_12: 5WI3CYJ7TI22 · pith_short_16: 5WI3CYJ7TI22WPNS · pith_short_8: 5WI3CYJ7

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/5WI3CYJ7TI22WPNSLGGHRCP2AC \
  | 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: ed91b1613f9a35ab3db2598c7889fa00a12f95cffa9a0449bfdf3bbb34a132bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3e0cf188002bf0e1b62195aea5e290c89ef11e41d91125e9146c8dd4b2cb574",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-23T10:38:05Z",
    "title_canon_sha256": "990ed0737cb67339c25d9bd191304b320242094c46d8f77109f74ef4ac4781dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4571",
    "kind": "arxiv",
    "version": 1
  }
}