Pith Number

pith:MGCCTUAU

pith:2015:MGCCTUAUHYPMEPLDDNGTFBEOFM

not attested not anchored not stored refs pending

On phase separation in systems of coupled elliptic equations: asymptotic analysis and geometric aspects

Alessandro Zilio, Nicola Soave

arxiv:1506.07779 v3 · 2015-06-25 · 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{MGCCTUAUHYPMEPLDDNGTFBEOFM}

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	2026-05-18T01:01:29.225000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

618429d0143e1ec23d631b4d32848e2b011372a231e705e5a08d6c8f3c409b19

Aliases

arxiv: 1506.07779 · arxiv_version: 1506.07779v3 · doi: 10.48550/arxiv.1506.07779 · pith_short_12: MGCCTUAUHYPM · pith_short_16: MGCCTUAUHYPMEPLD · pith_short_8: MGCCTUAU

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/MGCCTUAUHYPMEPLDDNGTFBEOFM \
  | 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: 618429d0143e1ec23d631b4d32848e2b011372a231e705e5a08d6c8f3c409b19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e04763cccf0f0b18e1c00cba2db39d45c007168ba6c79a5be60b80906b1d2876",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-25T15:10:24Z",
    "title_canon_sha256": "fadef941fac423d7caaf155692f85b81d6d1190e4fd1b738619b658aaa4a7e7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07779",
    "kind": "arxiv",
    "version": 3
  }
}