Pith Number

pith:J5LTPEUE

pith:2025:J5LTPEUEYUNTX3UMRXRXHRHVOZ

not attested not anchored not stored refs pending

The Graph Geometric Control Condition

Alessandro Duca, Ka\"is Ammari, K\'evin Le Balc'h, Romain Joly

arxiv:2503.18864 v2 · 2025-03-24 · math.OC · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J5LTPEUEYUNTX3UMRXRXHRHVOZ}

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.

Cited by

1 paper in Pith

Observable sets for Schr\"odinger equations on combinatorial graphs

Receipt and verification

First computed	2026-07-05T11:42:27.804927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f57379284c51b3bee8c8de373c4f57652baf54af0f2adbfba289be3cb4b4701

Aliases

arxiv: 2503.18864 · arxiv_version: 2503.18864v2 · doi: 10.48550/arxiv.2503.18864 · pith_short_12: J5LTPEUEYUNT · pith_short_16: J5LTPEUEYUNTX3UM · pith_short_8: J5LTPEUE

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/J5LTPEUEYUNTX3UMRXRXHRHVOZ \
  | 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: 4f57379284c51b3bee8c8de373c4f57652baf54af0f2adbfba289be3cb4b4701

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a0e78ad851fb34a4f7c1891afe5b6bc8c77353efa8152dc5a5462670c310ad9",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-03-24T16:39:48Z",
    "title_canon_sha256": "6c6d4ca567d3292d3a153b80dd067242f3bee186a8ac475b47df8958069f9d18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.18864",
    "kind": "arxiv",
    "version": 2
  }
}