Pith Number

pith:GAD5GDTB

pith:2011:GAD5GDTB6HTCS55CNE2FDCFJHX

not attested not anchored not stored refs pending

On the $\Gamma$-limit of singular perturbation problems with optimal profiles which are not one-dimensional. Part III: The energies with non local terms

Arkady Poliakovsky

arxiv:1112.2971 v6 · 2011-12-13 · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GAD5GDTB6HTCS55CNE2FDCFJHX}

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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	2026-05-18T02:27:50.176410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3007d30e61f1e62977a269345188a93defc2814d367be1095ccd36fea309a9c8

Aliases

arxiv: 1112.2971 · arxiv_version: 1112.2971v6 · doi: 10.48550/arxiv.1112.2971 · pith_short_12: GAD5GDTB6HTC · pith_short_16: GAD5GDTB6HTCS55C · pith_short_8: GAD5GDTB

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/GAD5GDTB6HTCS55CNE2FDCFJHX \
  | 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: 3007d30e61f1e62977a269345188a93defc2814d367be1095ccd36fea309a9c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8855b2a3099ad1b10f09e7abea71c128a7a4c4329f0b754d78cf8e5191e527c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-13T17:32:38Z",
    "title_canon_sha256": "7db7188653bd34e254f5b0618a87e09f86e4d84bcc8d432525b2837b567ab3b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2971",
    "kind": "arxiv",
    "version": 6
  }
}