Pith Number

pith:O2LV72QF

pith:2026:O2LV72QFGIFSPOSHM2UOCJ65WL

not attested not anchored not stored refs pending

A Unified Discrete Gradient-SAV Framework for Structure-Preserving Integration

Brynjulf Owren, David Mart\'in de Diego, Elena Celledoni, Miguel Vaquero

arxiv:2607.27795 v1 · 2026-07-30 · math.NA · cs.NA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2LV72QFGIFSPOSHM2UOCJ65WL}

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	2026-07-31T01:31:01.691840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

76975fea05320b27ba4766a8e127ddb2fc21aef40929b7faadd79d03d6226f6f

Aliases

arxiv: 2607.27795 · arxiv_version: 2607.27795v1 · doi: 10.48550/arxiv.2607.27795 · pith_short_12: O2LV72QFGIFS · pith_short_16: O2LV72QFGIFSPOSH · pith_short_8: O2LV72QF

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/O2LV72QFGIFSPOSHM2UOCJ65WL \
  | 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: 76975fea05320b27ba4766a8e127ddb2fc21aef40929b7faadd79d03d6226f6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b35a032abc56967b6a9b62c0efcad767bcfb48e48b64415c083dc414a3d431f",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-30T07:31:55Z",
    "title_canon_sha256": "394d40e51e468908d0b54e1065219ddfdae14d64ddd2a6b523b09fe5ff632ac1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27795",
    "kind": "arxiv",
    "version": 1
  }
}