Pith Number

pith:JZFKTE7J

pith:2012:JZFKTE7JOK3YZNPXHNDZNGCA3F

not attested not anchored not stored refs pending

Weak solutions to lubrication systems describing the evolution of bilayer thin films

Georgy Kitavtsev, Roman Taranets, Sebastian Jachalski

arxiv:1211.2216 v1 · 2012-11-09 · 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{JZFKTE7JOK3YZNPXHNDZNGCA3F}

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	2026-05-18T03:41:11.432986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e4aa993e972b78cb5f73b47969840d9543c712f35a99520796ac410b5ecbbab

Aliases

arxiv: 1211.2216 · arxiv_version: 1211.2216v1 · doi: 10.48550/arxiv.1211.2216 · pith_short_12: JZFKTE7JOK3Y · pith_short_16: JZFKTE7JOK3YZNPX · pith_short_8: JZFKTE7J

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/JZFKTE7JOK3YZNPXHNDZNGCA3F \
  | 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: 4e4aa993e972b78cb5f73b47969840d9543c712f35a99520796ac410b5ecbbab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33bc683e4330e48ee1093bda2266cdb39ba83d18e4a39b3eb122f87576cc0166",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-09T19:23:19Z",
    "title_canon_sha256": "7d8e6db98c449399bcaa0b15bb779dcf98b540c6d8f452c9e1a21cc41f71d3fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2216",
    "kind": "arxiv",
    "version": 1
  }
}