Pith Number

pith:55VGRSUB

pith:2019:55VGRSUBA5Y432L4AXQG4QYDQY

not attested not anchored not stored refs pending

PETSc TSAdjoint: a discrete adjoint ODE solver for first-order and second-order sensitivity analysis

Barry F. Smith, Emil M. Constantinescu, Hong Zhang

arxiv:1912.07696 v2 · 2019-12-16 · cs.MS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{55VGRSUBA5Y432L4AXQG4QYDQY}

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	2026-07-05T03:26:12.308721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef6a68ca810771cde97c05e06e43038603f99cac58772a4fbda893f30018e432

Aliases

arxiv: 1912.07696 · arxiv_version: 1912.07696v2 · doi: 10.48550/arxiv.1912.07696 · pith_short_12: 55VGRSUBA5Y4 · pith_short_16: 55VGRSUBA5Y432L4 · pith_short_8: 55VGRSUB

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/55VGRSUBA5Y432L4AXQG4QYDQY \
  | 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: ef6a68ca810771cde97c05e06e43038603f99cac58772a4fbda893f30018e432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b9f63af3b244108f73b79707bd98a0cd5cb941e44d61a3236ca185135f53f83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2019-12-16T20:45:42Z",
    "title_canon_sha256": "81a263ba8da469d474132c1c5ff8f31908ac7c3043322d4a0d41e512f3bc321e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.07696",
    "kind": "arxiv",
    "version": 2
  }
}