Pith Number

pith:XMSFSJP4

pith:2013:XMSFSJP4BTOVWTWBTTFQ6GCJPQ

not attested not anchored not stored refs pending

Characterization of the gradient blow-up of the solution to the conductivity equation in the presence of adjacent circular inclusions

Mikyoung Lim, Sanghyeon Yu

arxiv:1312.1976 v1 · 2013-12-06 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMSFSJP4BTOVWTWBTTFQ6GCJPQ}

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	2026-05-18T03:05:19.307047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb245925fc0cdd5b4ec19ccb0f18497c2ca7d45fb12d5bf05c2319b374179f83

Aliases

arxiv: 1312.1976 · arxiv_version: 1312.1976v1 · doi: 10.48550/arxiv.1312.1976 · pith_short_12: XMSFSJP4BTOV · pith_short_16: XMSFSJP4BTOVWTWB · pith_short_8: XMSFSJP4

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/XMSFSJP4BTOVWTWBTTFQ6GCJPQ \
  | 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: bb245925fc0cdd5b4ec19ccb0f18497c2ca7d45fb12d5bf05c2319b374179f83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4222c49c8c107f999bc8de444c6f7f27261a2cb97c5bb76102dddca152cc514a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-06T19:43:21Z",
    "title_canon_sha256": "fcfd367216407959835767789a848b208565a3d827463cc4e8f5117ffc96377e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1976",
    "kind": "arxiv",
    "version": 1
  }
}