Pith Number

pith:CMHEYR6D

pith:2011:CMHEYR6DZXCOMOP4IAYLA2IT3M

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 I: The upper bound

Arkady Poliakovsky

arxiv:1112.2305 v12 · 2011-12-10 · 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{CMHEYR6DZXCOMOP4IAYLA2IT3M}

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	2026-05-18T03:33:37.985334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

130e4c47c3cdc4e639fc4030b06913db2eeda7ac393315e2b3bfc46f022d719b

Aliases

arxiv: 1112.2305 · arxiv_version: 1112.2305v12 · doi: 10.48550/arxiv.1112.2305 · pith_short_12: CMHEYR6DZXCO · pith_short_16: CMHEYR6DZXCOMOP4 · pith_short_8: CMHEYR6D

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/CMHEYR6DZXCOMOP4IAYLA2IT3M \
  | 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: 130e4c47c3cdc4e639fc4030b06913db2eeda7ac393315e2b3bfc46f022d719b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a5edf13ad3ebc40e5cd6be8ba60aabf12270a0613c4bd0be3ce1381eb7fdfac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-10T21:55:14Z",
    "title_canon_sha256": "e442bd1f2f673c20af8e8f80e2c244e316e0b8ade23d7e134c3358884a09e7af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2305",
    "kind": "arxiv",
    "version": 12
  }
}