Pith Number

pith:T4LKUXHS

pith:2015:T4LKUXHSM65PZ7GZEO2BKVUDWQ

not attested not anchored not stored refs pending

Approximation of delay differential equations at the verge of instability by equations without delay

Nishanth Lingala

arxiv:1510.06310 v2 · 2015-10-21 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T4LKUXHSM65PZ7GZEO2BKVUDWQ}

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	2026-05-18T01:17:00.133735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f16aa5cf267bafcfcd923b4155683b42fcd79f3066c4a76924a613cb39190b9

Aliases

arxiv: 1510.06310 · arxiv_version: 1510.06310v2 · doi: 10.48550/arxiv.1510.06310 · pith_short_12: T4LKUXHSM65P · pith_short_16: T4LKUXHSM65PZ7GZ · pith_short_8: T4LKUXHS

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/T4LKUXHSM65PZ7GZEO2BKVUDWQ \
  | 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: 9f16aa5cf267bafcfcd923b4155683b42fcd79f3066c4a76924a613cb39190b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c499fa1d147517cbc0d15a39448d923a85da4fd766b9ea038e4cecb639b48c59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-21T15:54:30Z",
    "title_canon_sha256": "960ec323f92b3ad56e2ba7044320b981efe78443203dc1ca84dcdbd73c94d4de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06310",
    "kind": "arxiv",
    "version": 2
  }
}