Pith Number

pith:ZMM7E4FL

pith:2024:ZMM7E4FLR3Y64VUEAJB532UDDJ

not attested not anchored not stored refs pending

Strong convergence of path sensitivities

Michael B. Giles

arxiv:2411.15930 v1 · 2024-11-24 · math.NA · cs.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{ZMM7E4FLR3Y64VUEAJB532UDDJ}

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	2026-07-05T09:39:43.863885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb19f270ab8ef1ee56840243ddea831a5dd83cae86a72e7b4a20453feae386b9

Aliases

arxiv: 2411.15930 · arxiv_version: 2411.15930v1 · doi: 10.48550/arxiv.2411.15930 · pith_short_12: ZMM7E4FLR3Y6 · pith_short_16: ZMM7E4FLR3Y64VUE · pith_short_8: ZMM7E4FL

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/ZMM7E4FLR3Y64VUEAJB532UDDJ \
  | 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: cb19f270ab8ef1ee56840243ddea831a5dd83cae86a72e7b4a20453feae386b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42be806f85b050fad5ecaeb5851b21143312666fcc518c0acaeb1b05b7f2d003",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-11-24T17:36:02Z",
    "title_canon_sha256": "fe070d2f4e1803d354da42684f5cd0420639253244eec0c8ae5a4e650ca3a4f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15930",
    "kind": "arxiv",
    "version": 1
  }
}