Pith Number

pith:4MS7KOAH

pith:2018:4MS7KOAH3TO3QXMXZJ2YVV53FJ

not attested not anchored not stored refs pending

Nodal Sets and Doubling Conditions in Elliptic Homogenization

Fanghua Lin, Zhongwei Shen

arxiv:1805.09475 v1 · 2018-05-24 · 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{4MS7KOAH3TO3QXMXZJ2YVV53FJ}

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	2026-05-18T00:15:03.805567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e325f53807dcddb85d97ca758ad7bb2a46423822f9fadd174ef0561aee996524

Aliases

arxiv: 1805.09475 · arxiv_version: 1805.09475v1 · doi: 10.48550/arxiv.1805.09475 · pith_short_12: 4MS7KOAH3TO3 · pith_short_16: 4MS7KOAH3TO3QXMX · pith_short_8: 4MS7KOAH

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/4MS7KOAH3TO3QXMXZJ2YVV53FJ \
  | 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: e325f53807dcddb85d97ca758ad7bb2a46423822f9fadd174ef0561aee996524

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3aecbea5742aba8cd9ca6d73e86c4cdf3536e7ff53c5b520e34ef61f6a13dc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-24T01:27:38Z",
    "title_canon_sha256": "02e667f3118337796daf317dd198ec8c6e26150327b799156c509a6b3ced0cb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09475",
    "kind": "arxiv",
    "version": 1
  }
}