Pith Number

pith:D24W5HRI

pith:2017:D24W5HRIHGBNKHEXWBT52TRJHJ

not attested not anchored not stored refs pending

Optimal estimates for the perfect conductivity problem with inclusions close to the boundary

Haigang Li, Longjuan Xu

arxiv:1705.04459 v1 · 2017-05-12 · 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{D24W5HRIHGBNKHEXWBT52TRJHJ}

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	2026-05-18T00:44:38.037677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1eb96e9e283982d51c97b067dd4e293a505fa3fe222fdf80b6d96e03b6f7ce91

Aliases

arxiv: 1705.04459 · arxiv_version: 1705.04459v1 · doi: 10.48550/arxiv.1705.04459 · pith_short_12: D24W5HRIHGBN · pith_short_16: D24W5HRIHGBNKHEX · pith_short_8: D24W5HRI

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/D24W5HRIHGBNKHEXWBT52TRJHJ \
  | 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: 1eb96e9e283982d51c97b067dd4e293a505fa3fe222fdf80b6d96e03b6f7ce91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ec21b430833a049e827ea41fcd5fbc6c29aec66fdd1b137a53354c7965a4c62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-12T08:00:31Z",
    "title_canon_sha256": "5639e21452fe20088da7d5eb03e2fbc0a242f055b7f15da1172f986a24f56b71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04459",
    "kind": "arxiv",
    "version": 1
  }
}