Pith Number

pith:LUIL4TPY

pith:2017:LUIL4TPY6LIVSQBPA2EN626VBD

not attested not anchored not stored refs pending

A proof of the Flaherty-Keller formula on the effective property of densely packed elastic composites

Hyeonbae Kang, Sanghyeon Yu

arxiv:1707.02205 v1 · 2017-07-07 · 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{LUIL4TPY6LIVSQBPA2EN626VBD}

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	2026-05-18T00:40:42.576544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d10be4df8f2d159402f0688df6bd508c69ffe2d13f7b1a78ac209481e0a0328

Aliases

arxiv: 1707.02205 · arxiv_version: 1707.02205v1 · doi: 10.48550/arxiv.1707.02205 · pith_short_12: LUIL4TPY6LIV · pith_short_16: LUIL4TPY6LIVSQBP · pith_short_8: LUIL4TPY

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/LUIL4TPY6LIVSQBPA2EN626VBD \
  | 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: 5d10be4df8f2d159402f0688df6bd508c69ffe2d13f7b1a78ac209481e0a0328

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "656b24e565c1442f1ea436e16f8f2571290e9ff00d6d7fc30712a2811473f9f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-07T14:52:16Z",
    "title_canon_sha256": "1480830da2f94552c3dcb3e0beaf8789a0cb0fc983cb757e4a916a922c8d90b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02205",
    "kind": "arxiv",
    "version": 1
  }
}