Pith Number

pith:ZENALELI

pith:2011:ZENALELIEDKFHWTRX3T4CQKZA6

not attested not anchored not stored refs pending

Ginzburg-Landau model with small pinning domains

Micka\"el Dos Santos (ICJ), Oleksandr Misiats

arxiv:1103.3867 v1 · 2011-03-20 · 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{ZENALELIEDKFHWTRX3T4CQKZA6}

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	2026-05-18T04:26:22.184074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c91a05916820d453da71bee7c1415907b22c9983c772dec5edb42ae7eed7cea1

Aliases

arxiv: 1103.3867 · arxiv_version: 1103.3867v1 · doi: 10.48550/arxiv.1103.3867 · pith_short_12: ZENALELIEDKF · pith_short_16: ZENALELIEDKFHWTR · pith_short_8: ZENALELI

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/ZENALELIEDKFHWTRX3T4CQKZA6 \
  | 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: c91a05916820d453da71bee7c1415907b22c9983c772dec5edb42ae7eed7cea1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfbb1b823c26c6c930c004673a415050354ed0a5491032ddd3a848f2855e95f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-20T17:48:31Z",
    "title_canon_sha256": "dc8b0207319dac913e470cfeb6d33b2df3e7b8863d0847b95bceaf486e70f61e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3867",
    "kind": "arxiv",
    "version": 1
  }
}