Pith Number

pith:E44A2JAG

pith:2026:E44A2JAGKPJSHVPZGNGI7CUCU3

not attested not anchored not stored refs pending

A minimizing-movement framework for geometric gradient flows with admissible tangential motion

Quan Zhao, Xiaoxiao Liu

arxiv:2606.18177 v1 · 2026-06-16 · 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{E44A2JAGKPJSHVPZGNGI7CUCU3}

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	2026-06-19T16:10:50.315859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27380d240653d323d5f9334c8f8a82a6c32de8e0e49b61c3c9b5b676d5f44d9b

Aliases

arxiv: 2606.18177 · arxiv_version: 2606.18177v1 · doi: 10.48550/arxiv.2606.18177 · pith_short_12: E44A2JAGKPJS · pith_short_16: E44A2JAGKPJSHVPZ · pith_short_8: E44A2JAG

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/E44A2JAGKPJSHVPZGNGI7CUCU3 \
  | 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: 27380d240653d323d5f9334c8f8a82a6c32de8e0e49b61c3c9b5b676d5f44d9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a12bb9932e3055866b24b03fd77d801c1420e7dfb8eabb7b5c3a630474766204",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-16T17:11:04Z",
    "title_canon_sha256": "6fc35dcb9d49d761f5dc318b1d4db0d74681880ed3bdaa78cd56dffb498928c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18177",
    "kind": "arxiv",
    "version": 1
  }
}