Pith Number

pith:4P6I5O5A

pith:2012:4P6I5O5ADBVKKK66ILBKZK6WA4

not attested not anchored not stored refs pending

A Liouville theorem of degenerate elliptic equation and its application

Genggeng Huang

arxiv:1211.2520 v1 · 2012-11-12 · 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{4P6I5O5ADBVKKK66ILBKZK6WA4}

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	2026-05-18T03:41:03.078883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3fc8ebba0186aa52bde42c2acabd60730f59a6e4fd5706b6bf9d02df7560f4f

Aliases

arxiv: 1211.2520 · arxiv_version: 1211.2520v1 · doi: 10.48550/arxiv.1211.2520 · pith_short_12: 4P6I5O5ADBVK · pith_short_16: 4P6I5O5ADBVKKK66 · pith_short_8: 4P6I5O5A

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/4P6I5O5ADBVKKK66ILBKZK6WA4 \
  | 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: e3fc8ebba0186aa52bde42c2acabd60730f59a6e4fd5706b6bf9d02df7560f4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63bdbd8e1665173b370121754b3669332bbe09c4550706ed0ad1da24376c26f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-12T06:36:16Z",
    "title_canon_sha256": "b08891d7c7089e1068d3b764271746b4b63c70b816805b5311f9678c6133e603"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2520",
    "kind": "arxiv",
    "version": 1
  }
}