Pith Number

pith:VDKLG76L

pith:2014:VDKLG76LLHORA3V4EE7JCBZF7I

not attested not anchored not stored refs pending

Lipschitz estimates in almost-periodic homogenization

Scott N. Armstrong, Zhongwei Shen

arxiv:1409.2094 v2 · 2014-09-07 · 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{VDKLG76LLHORA3V4EE7JCBZF7I}

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	2026-05-18T02:41:52.092741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8d4b37fcb59dd106ebc213e910725fa25894edaf747341cc5c16050a4c7ad38

Aliases

arxiv: 1409.2094 · arxiv_version: 1409.2094v2 · doi: 10.48550/arxiv.1409.2094 · pith_short_12: VDKLG76LLHOR · pith_short_16: VDKLG76LLHORA3V4 · pith_short_8: VDKLG76L

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/VDKLG76LLHORA3V4EE7JCBZF7I \
  | 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: a8d4b37fcb59dd106ebc213e910725fa25894edaf747341cc5c16050a4c7ad38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fbc64f6841c649cdf439fe73d1e0ebe0b3778d673c5c59557c93b81bd86e3d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-07T08:30:02Z",
    "title_canon_sha256": "ad8410ad5c0010bcc19ddb1cd7fa1e7cc36d43d0d00c3cdbf9ef054ddaba959f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2094",
    "kind": "arxiv",
    "version": 2
  }
}