Pith Number

pith:W5POOQL4

pith:2015:W5POOQL42G4N3ZAZC7277CW3D7

not attested not anchored not stored refs pending

Numerical Computation of the Gradient and the Action of the Hessian for Time-Dependent PDE-Constrained Optimization Problems

Eldad Haber, Kai Rothauge, Uri Ascher

arxiv:1509.03801 v2 · 2015-09-13 · math.OC

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

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	2026-05-18T01:09:42.118992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b75ee7417cd1b8dde41917f5ff8adb1fcd58ab93d855af539dd930d6c7e9a377

Aliases

arxiv: 1509.03801 · arxiv_version: 1509.03801v2 · doi: 10.48550/arxiv.1509.03801 · pith_short_12: W5POOQL42G4N · pith_short_16: W5POOQL42G4N3ZAZ · pith_short_8: W5POOQL4

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/W5POOQL42G4N3ZAZC7277CW3D7 \
  | 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: b75ee7417cd1b8dde41917f5ff8adb1fcd58ab93d855af539dd930d6c7e9a377

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98b9c7a07599b1a17b95d931ffa807fd0296ced22aa036c83634130691354095",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-09-13T03:42:29Z",
    "title_canon_sha256": "86001c264c53cbd0c334fab8ad9e190ee49544fc165911e6a203da9bbf46b73e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03801",
    "kind": "arxiv",
    "version": 2
  }
}