Pith Number

pith:N7P7SL5M

pith:2011:N7P7SL5MCYJZDKVUP6VBABPCYT

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 II: The lower bound

Arkady Poliakovsky

arxiv:1112.2968 v5 · 2011-12-13 · 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{N7P7SL5MCYJZDKVUP6VBABPCYT}

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	2026-05-18T03:12:22.732054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fdff92fac161391aab47faa1005e2c4f53151c40289028e2d262498544fe3e7

Aliases

arxiv: 1112.2968 · arxiv_version: 1112.2968v5 · doi: 10.48550/arxiv.1112.2968 · pith_short_12: N7P7SL5MCYJZ · pith_short_16: N7P7SL5MCYJZDKVU · pith_short_8: N7P7SL5M

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/N7P7SL5MCYJZDKVUP6VBABPCYT \
  | 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: 6fdff92fac161391aab47faa1005e2c4f53151c40289028e2d262498544fe3e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "163fcecd8442b16d122896ce9757aa3f4ab0fc0109eb250f9bbb9dab6044dba5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-13T17:24:37Z",
    "title_canon_sha256": "929845522bf4ac7580b2e59b600bfdcf527a694b38a4078461448a30c44da1d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2968",
    "kind": "arxiv",
    "version": 5
  }
}