Pith Number

pith:YSMZZ37X

pith:2011:YSMZZ37XPI4Y333GQVELR6D56K

not attested not anchored not stored refs pending

Electrified thin films: Global existence of non-negative solutions

Antoine Mellet, Cyril Imbert (CEREMADE)

arxiv:1102.0949 v4 · 2011-02-04 · 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{YSMZZ37XPI4Y333GQVELR6D56K}

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	2026-05-18T03:52:12.510772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4999ceff77a398def668548b8f87df2951e686fad1bf22bd1a5f542436729e9

Aliases

arxiv: 1102.0949 · arxiv_version: 1102.0949v4 · doi: 10.48550/arxiv.1102.0949 · pith_short_12: YSMZZ37XPI4Y · pith_short_16: YSMZZ37XPI4Y333G · pith_short_8: YSMZZ37X

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/YSMZZ37XPI4Y333GQVELR6D56K \
  | 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: c4999ceff77a398def668548b8f87df2951e686fad1bf22bd1a5f542436729e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36770addcf9678ae9beb281b6d11f973e3feb17ecff309cf168436387c26cc0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-04T15:57:00Z",
    "title_canon_sha256": "9497e6fc9f34ad6afc335fabfe3c47bbb68420af9cfc5d5f2a29f37ae234435d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0949",
    "kind": "arxiv",
    "version": 4
  }
}