Pith Number

pith:3XPGAFGU

pith:2016:3XPGAFGU4ZEYJIHI6H7NQYG32C

not attested not anchored not stored refs pending

Practical stabilization of perturbed integrator chains with unknown bounds

Mohamed Harmouche, Salah Laghrouche, Yacine Chitour

arxiv:1607.02767 v1 · 2016-07-10 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XPGAFGU4ZEYJIHI6H7NQYG32C}

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	2026-05-18T01:11:16.205785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddde6014d4e64984a0e8f1fed860dbd08c52400d6b0bc920e40771bb9d4325e4

Aliases

arxiv: 1607.02767 · arxiv_version: 1607.02767v1 · doi: 10.48550/arxiv.1607.02767 · pith_short_12: 3XPGAFGU4ZEY · pith_short_16: 3XPGAFGU4ZEYJIHI · pith_short_8: 3XPGAFGU

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/3XPGAFGU4ZEYJIHI6H7NQYG32C \
  | 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: ddde6014d4e64984a0e8f1fed860dbd08c52400d6b0bc920e40771bb9d4325e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b92e5d8a42b5f8f7c49b60562b772942a7256265414ae4335fec4405f56bc56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-07-10T17:46:51Z",
    "title_canon_sha256": "c2bf7ddb4cca810630aa137fb425d5a1f4445c4e64a81872d5a357342bcfa26d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02767",
    "kind": "arxiv",
    "version": 1
  }
}