Pith Number

pith:4EFMSFMB

pith:2017:4EFMSFMBCBJPCNQDOUUJV7FDPL

not attested not anchored not stored refs pending

Automated adjoints of coupled PDE-ODE systems

Johan E. Hake, Marie E. Rognes, Patrick E. Farrell, Simon W. Funke

arxiv:1708.07648 v1 · 2017-08-25 · 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{4EFMSFMBCBJPCNQDOUUJV7FDPL}

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	2026-05-18T00:36:42.469904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e10ac915811052f1360375289afca37ad6f132e610761648e74737ca287e31ac

Aliases

arxiv: 1708.07648 · arxiv_version: 1708.07648v1 · doi: 10.48550/arxiv.1708.07648 · pith_short_12: 4EFMSFMBCBJP · pith_short_16: 4EFMSFMBCBJPCNQD · pith_short_8: 4EFMSFMB

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/4EFMSFMBCBJPCNQDOUUJV7FDPL \
  | 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: e10ac915811052f1360375289afca37ad6f132e610761648e74737ca287e31ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e7036be6c3ff289914cecc4d8b2a760eca6567c5af03df322fb7d63d0014883",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-08-25T08:38:09Z",
    "title_canon_sha256": "9aff6c92953c6db13776b5b8a0484bbe42927474998e30a25691a0d6c7e40150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07648",
    "kind": "arxiv",
    "version": 1
  }
}