Pith Number

pith:Z64BEASG

pith:2025:Z64BEASGXU4NUIKT57PLZJSE3A

not attested not anchored not stored refs pending

A Variational Framework for the Complexity of PDE Solutions

Gitta Kutyniok, Holger Boche, Juan Esteban Suarez Cardona

arxiv:2510.21290 v3 · 2025-10-24 · 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{Z64BEASGXU4NUIKT57PLZJSE3A}

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	2026-06-09T02:08:34.165194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfb8120246bd38da2153efdebca644d821b6f2e4e098714f8952c2246662435b

Aliases

arxiv: 2510.21290 · arxiv_version: 2510.21290v3 · doi: 10.48550/arxiv.2510.21290 · pith_short_12: Z64BEASGXU4N · pith_short_16: Z64BEASGXU4NUIKT · pith_short_8: Z64BEASG

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/Z64BEASGXU4NUIKT57PLZJSE3A \
  | 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: cfb8120246bd38da2153efdebca644d821b6f2e4e098714f8952c2246662435b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5370e97343d947c787e3456d6e2908c151e4ab7e477a81f398df30ea305df4e",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-10-24T09:38:12Z",
    "title_canon_sha256": "83ee1b7f944f98eba325af3c1e7398cb1de2c8c8bbfe2749900266d193d746a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.21290",
    "kind": "arxiv",
    "version": 3
  }
}