Pith Number

pith:HH4OW5CG

pith:2011:HH4OW5CGF4YVQPQVAUCSSBXMIX

not attested not anchored not stored refs pending

Asymptotics and Computation of the Solution to the Conductivity Equation in the Presence of Adjacent Inclusions with Extreme Conductivities

Hyeonbae Kang, KiHyun Yun, Mikyoung Lim

arxiv:1105.4328 v1 · 2011-05-22 · 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{HH4OW5CGF4YVQPQVAUCSSBXMIX}

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	2026-05-18T02:21:50.234356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39f8eb74462f31583e1505052906ec45c55f378baeff7f33c68181013919396c

Aliases

arxiv: 1105.4328 · arxiv_version: 1105.4328v1 · doi: 10.48550/arxiv.1105.4328 · pith_short_12: HH4OW5CGF4YV · pith_short_16: HH4OW5CGF4YVQPQV · pith_short_8: HH4OW5CG

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/HH4OW5CGF4YVQPQVAUCSSBXMIX \
  | 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: 39f8eb74462f31583e1505052906ec45c55f378baeff7f33c68181013919396c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53b694fd88d34d1f7c4c9bfd9b1f7be28fbc374658bb5fa24bbd2e0fdb293e81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-22T11:17:22Z",
    "title_canon_sha256": "2448a27b390b0d5ca83794a3b20def532f08b62bc0d2535fb3fdf0f285cb0959"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4328",
    "kind": "arxiv",
    "version": 1
  }
}