Pith Number

pith:ILAASJKN

pith:2026:ILAASJKNIVR57547TMVXKZBX2W

not attested not anchored not stored refs pending

Stability Analysis of Pantograph Delay Differential Equations

Sachin Bhalekar

arxiv:2605.22019 v1 · 2026-05-21 · math.DS · cs.NA · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILAASJKNIVR57547TMVXKZBX2W}

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	2026-05-22T01:04:20.760068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42c009254d4563dff79f9b2b756437d58b5a212f9b29b3e34ac919a6f6d10f0c

Aliases

arxiv: 2605.22019 · arxiv_version: 2605.22019v1 · doi: 10.48550/arxiv.2605.22019 · pith_short_12: ILAASJKNIVR5 · pith_short_16: ILAASJKNIVR57547 · pith_short_8: ILAASJKN

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/ILAASJKNIVR57547TMVXKZBX2W \
  | 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: 42c009254d4563dff79f9b2b756437d58b5a212f9b29b3e34ac919a6f6d10f0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d9808365bdeb02d2b920ce00e2036d4ce845cef7803507e6335d64791d42e0f",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-05-21T05:38:41Z",
    "title_canon_sha256": "6119857ced990c35215600282663d28d9fe4a452a1fce663712914045600787f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22019",
    "kind": "arxiv",
    "version": 1
  }
}