Pith Number

pith:4AACM2C2

pith:2020:4AACM2C2VYNJIXM7HXKRYV7IZQ

not attested not anchored not stored refs pending

The Liouville theorem of a torsion system and its application to symmetry group of a porous medium type equation on symmetric spaces

Shi-Zhong Du, Tian-Pei Guo, Xiao-Peng Chen

arxiv:2001.00118 v2 · 2020-01-01 · 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{4AACM2C2VYNJIXM7HXKRYV7IZQ}

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	2026-07-05T01:04:47.555379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e00026685aae1a945d9f3dd51c57e8cc2ed73b8a81d01d401b0a5eabc80a6407

Aliases

arxiv: 2001.00118 · arxiv_version: 2001.00118v2 · doi: 10.48550/arxiv.2001.00118 · pith_short_12: 4AACM2C2VYNJ · pith_short_16: 4AACM2C2VYNJIXM7 · pith_short_8: 4AACM2C2

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/4AACM2C2VYNJIXM7HXKRYV7IZQ \
  | 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: e00026685aae1a945d9f3dd51c57e8cc2ed73b8a81d01d401b0a5eabc80a6407

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "153377f2a328bab2205c8835d76fea0dafb505210ca4e5f98341b5971a387c4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-01-01T00:42:39Z",
    "title_canon_sha256": "7aca6086eb9b2c0d8a5342df8aea952e21528ab1058bd5142a632743bad0902c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.00118",
    "kind": "arxiv",
    "version": 2
  }
}