Pith Number

pith:BE4HIYY6

pith:2018:BE4HIYY6AXZJ56VTMECVAXSPKI

not attested not anchored not stored refs pending

Linear gradient structures and discrete gradient methods for conservative/dissipative differential-algebraic equations

Shun Sato

arxiv:1805.04824 v1 · 2018-05-13 · 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{BE4HIYY6AXZJ56VTMECVAXSPKI}

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	2026-05-18T00:16:04.527083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

093874631e05f29efab36105505e4f52313358844e8b5dbab05134dda22638d4

Aliases

arxiv: 1805.04824 · arxiv_version: 1805.04824v1 · doi: 10.48550/arxiv.1805.04824 · pith_short_12: BE4HIYY6AXZJ · pith_short_16: BE4HIYY6AXZJ56VT · pith_short_8: BE4HIYY6

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/BE4HIYY6AXZJ56VTMECVAXSPKI \
  | 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: 093874631e05f29efab36105505e4f52313358844e8b5dbab05134dda22638d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77fd54e4b9c7e24b75e4ec0f9eaa3ba051d7ac2c77de921462a90f3b42dbacb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-05-13T05:55:58Z",
    "title_canon_sha256": "74c424f2f70747bf95de87f52e92a998e2b1db4e2d2a89894ca25db0ffcea4f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.04824",
    "kind": "arxiv",
    "version": 1
  }
}