Pith Number

pith:ZJYLOYSH

pith:2021:ZJYLOYSHFF5K6W3LITQLCBOZWV

not attested not anchored not stored refs pending

Sharp Stability Wavenumber-explicit Bounds for 2D Helmholtz Equations

Bin Han, Michelle Michelle

arxiv:2108.06469 v3 · 2021-08-14 · 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{ZJYLOYSHFF5K6W3LITQLCBOZWV}

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	2026-07-05T04:23:21.338899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca70b76247297aaf5b6b44e0b105d9b5530d68c5315d63e1a992d3e3a57210b6

Aliases

arxiv: 2108.06469 · arxiv_version: 2108.06469v3 · doi: 10.48550/arxiv.2108.06469 · pith_short_12: ZJYLOYSHFF5K · pith_short_16: ZJYLOYSHFF5K6W3L · pith_short_8: ZJYLOYSH

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/ZJYLOYSHFF5K6W3LITQLCBOZWV \
  | 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: ca70b76247297aaf5b6b44e0b105d9b5530d68c5315d63e1a992d3e3a57210b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65417c2681fe3481ec0f7f7bafd961ffe6541e7405efc93cf1193431a86291a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-08-14T05:32:07Z",
    "title_canon_sha256": "ae0fd791e45d5aee38fadd5367d2b475660f859521c32fc1e4585d1535e8815c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.06469",
    "kind": "arxiv",
    "version": 3
  }
}