Pith Number

pith:GRRCRE7W

pith:2012:GRRCRE7WN5IRLPGBHQRGMV42EM

not attested not anchored not stored refs pending

Group properties and invariant solutions of a sixth-order thin film equation in viscous fluid

Ding-jiang Huang, Qin-min Yang, Shuigeng Zhou

arxiv:1202.5138 v1 · 2012-02-23 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRRCRE7WN5IRLPGBHQRGMV42EM}

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	2026-05-18T01:58:20.429456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34622893f66f5115bcc13c2266579a232440f0ee8c70c2ee8c71e88cf9e9ada2

Aliases

arxiv: 1202.5138 · arxiv_version: 1202.5138v1 · doi: 10.48550/arxiv.1202.5138 · pith_short_12: GRRCRE7WN5IR · pith_short_16: GRRCRE7WN5IRLPGB · pith_short_8: GRRCRE7W

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/GRRCRE7WN5IRLPGBHQRGMV42EM \
  | 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: 34622893f66f5115bcc13c2266579a232440f0ee8c70c2ee8c71e88cf9e9ada2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45a6f97c682406f71f2cd5a8b715b24cb957ba6d9a4718a1a1277f9e8bc82dc4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-23T10:04:28Z",
    "title_canon_sha256": "226f18bd6bfa6fd6a05b445975295703df45042a875293091368c69ea8bed66e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5138",
    "kind": "arxiv",
    "version": 1
  }
}