Pith Number

pith:BGBIDTXB

pith:2021:BGBIDTXBBJDQVB5AJRNFPJHFBI

not attested not anchored not stored refs pending

Singular analysis of the stress concentration in the narrow regions between the inclusions and the matrix boundary

Changxing Miao, Zhiwen Zhao

arxiv:2109.04394 v3 · 2021-09-09 · 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{BGBIDTXBBJDQVB5AJRNFPJHFBI}

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	2026-07-05T04:20:29.495739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

098281cee10a470a87a04c5a57a4e50a15087618916e9e8a194595d7f96ad830

Aliases

arxiv: 2109.04394 · arxiv_version: 2109.04394v3 · doi: 10.48550/arxiv.2109.04394 · pith_short_12: BGBIDTXBBJDQ · pith_short_16: BGBIDTXBBJDQVB5A · pith_short_8: BGBIDTXB

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/BGBIDTXBBJDQVB5AJRNFPJHFBI \
  | 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: 098281cee10a470a87a04c5a57a4e50a15087618916e9e8a194595d7f96ad830

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc67459535a4615d4ebe9e6904899d2afc635f15d27acfc7fd26979be004cc96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-09-09T16:33:26Z",
    "title_canon_sha256": "6e63630e21dd8a0fdbf8f29dca8e12d3b6f8faa862c4ebcaa0f6dbf9234d83f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.04394",
    "kind": "arxiv",
    "version": 3
  }
}