Pith Number

pith:5SO6LGVB

pith:2014:5SO6LGVB7TV6GU7IIPFLHEE4JM

not attested not anchored not stored refs pending

A Liouville theorem for high order degenerate elliptic equations

Congming Li, Genggeng Huang

arxiv:1407.7978 v1 · 2014-07-30 · 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{5SO6LGVB7TV6GU7IIPFLHEE4JM}

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	2026-05-18T02:46:13.910010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec9de59aa1fcebe353e843cab3909c4b1f9414212a20324b73c8318db9db2616

Aliases

arxiv: 1407.7978 · arxiv_version: 1407.7978v1 · doi: 10.48550/arxiv.1407.7978 · pith_short_12: 5SO6LGVB7TV6 · pith_short_16: 5SO6LGVB7TV6GU7I · pith_short_8: 5SO6LGVB

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/5SO6LGVB7TV6GU7IIPFLHEE4JM \
  | 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: ec9de59aa1fcebe353e843cab3909c4b1f9414212a20324b73c8318db9db2616

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e9071aad2e537b269d1cdaa3bcf48535ad66a976e20504020bef080cece4645",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-30T09:30:42Z",
    "title_canon_sha256": "3231982f509c2281185bf9ac4d4abe5cc033c76a22ac3b7d165dff76c50aa134"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7978",
    "kind": "arxiv",
    "version": 1
  }
}